# 緊緻拓撲空間基礎 · 脈衝 R05

本批已通過 Schema、去重、來源快照與獨立答案重算；仍未標記為人工審定。

本題庫已有對應的中英逐步詳解。原題的 candidate 與英文 ai_candidate 狀態保留；AI 覆核、有限計算與 Lean 形式證明分開標示。

batch-20261014-advance-20261102-r05-compact-topological-space-foundations · 2026-10-14 · 100 題



## 1. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0001/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 2. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0002/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 3. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,2,3],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0003/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 4. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,3,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0004/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 5. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,2,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0005/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 6. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,3,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0006/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 7. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,3],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0007/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 8. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0008/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 9. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,1,2,3],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0009/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 10. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,2,3,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0010/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 11. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,1,2,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0011/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 12. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,2,3,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0012/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 13. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,2,3],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0013/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 14. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,3,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0014/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 15. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,1,2,3],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0015/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 16. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,2,3,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0016/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 17. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,1,3,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0017/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 18. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,2,3,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0018/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 19. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,2,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0019/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 20. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,3,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0020/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 21. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,1,2,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0021/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 22. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,2,3,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0022/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 23. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,1,3,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0023/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 24. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,2,3,4],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0024/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 25. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-finite-space-certificate；資料={"n":5,"topology":[[],[1],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]]}。請依 [carrier_size,open_set_count,compact,finite_topology_certificate] 欄序回答。

查看答案與解釋(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)

Wave5第二層核對=(5, 6, 是, every_open_cover_is_a_subfamily_of_a_finite_topology)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0025/)

緊緻拓撲空間 · qf-mod33-compact-finite-space-certificate · candidate





## 26. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0026/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 27. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0027/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 28. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0028/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 29. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0029/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 30. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0030/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 31. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0031/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 32. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0032/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 33. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0033/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 34. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0034/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 35. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0035/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 36. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0036/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 37. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0037/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 38. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0038/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 39. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0039/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 40. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0040/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 41. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0041/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 42. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0042/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 43. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0043/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 44. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0044/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 45. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0045/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 46. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0046/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 47. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0047/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 48. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0048/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 49. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0049/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 50. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-cover-audit；資料={"n":5,"topology":[[],[1],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5第二層核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0050/)

緊緻拓撲空間 · qf-mod33-compact-cover-audit · candidate





## 51. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0051/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 52. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 2, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 2, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0052/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 53. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0053/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 54. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 3, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 3, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0054/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 55. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 2, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 2, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0055/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 56. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 3, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 3, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0056/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 57. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0057/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 58. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 2, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 2, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0058/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 59. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0059/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 60. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 2, 3, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 2, 3, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0060/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 61. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 2, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 2, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0061/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 62. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 2, 3, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 2, 3, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0062/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 63. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0063/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 64. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 3, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 3, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0064/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 65. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0065/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 66. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 2, 3, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 2, 3, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0066/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 67. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 3, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 3, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0067/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 68. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 2, 3, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 2, 3, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0068/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 69. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 2, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 2, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0069/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 70. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 3, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 3, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0070/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 71. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 2, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 2, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0071/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 72. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 2, 3, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 2, 3, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0072/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 73. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 3, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 3, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0073/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 74. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 2, 3, 4], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 2, 3, 4], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0074/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 75. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-subcover-witness；資料={"n":5,"topology":[[],[1],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,covered_union,valid_subcover,scope] 欄序回答。

查看答案與解釋([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)

Wave5第二層核對=([1], [0, 1, 2, 3], 是, finite_subcover_for_supplied_cover)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0075/)

緊緻拓撲空間 · qf-mod33-compact-subcover-witness · candidate





## 76. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0076/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 77. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0077/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 78. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0078/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 79. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0079/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 80. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0080/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 81. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0081/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 82. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0082/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 83. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0083/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 84. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0084/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 85. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0085/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 86. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0086/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 87. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0087/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 88. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0088/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 89. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0089/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 90. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0090/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 91. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0091/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 92. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0092/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 93. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0093/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 94. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0094/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 95. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0095/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 96. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0096/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 97. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0097/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 98. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0098/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 99. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0099/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate





## 100. 緊緻拓撲空間

完整有限carrier與完整拓撲或明示supplied cover。操作=compact-single-cover-boundary；資料={"n":5,"topology":[[],[1],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_general_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)

Wave5第二層核對=([1], 是, 否, one_supplied_cover_does_not_prove_general_compactness)；依完整明示資料重算；每個有限拓撲空間由有限性全稱定理compact；單一cover有有限subcover不證一般或無限空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261102-r05-compact-topological-space-0100/)

緊緻拓撲空間 · qf-mod33-compact-single-cover-boundary · candidate



[原始題目 JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20261014-advance-20261102-r05-compact-topological-space-foundations/questions.jsonl) · [驗收報告](https://ocme.evemisslab.com/data/questions/batches/batch-20261014-advance-20261102-r05-compact-topological-space-foundations/validation-report.json)