# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

100 results; page 4/4.

## Question 16776: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0026`; number: 16776
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0026/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0026.json)

## Question 16777: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0027`; number: 16777
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0027/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0027.json)

## Question 16778: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0028`; number: 16778
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0028/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0028.json)

## Question 16779: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0029`; number: 16779
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0029/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0029.json)

## Question 16780: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0030`; number: 16780
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0030/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0030.json)

## Question 16781: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0031`; number: 16781
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0031/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0031.json)

## Question 16782: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0032`; number: 16782
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0032/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0032.json)

## Question 16783: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0033`; number: 16783
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0033/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0033.json)

## Question 16784: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0034`; number: 16784
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0034/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0034.json)

## Question 16785: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0035`; number: 16785
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0035/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0035.json)

## Question 16786: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0036`; number: 16786
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0036/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0036.json)

## Question 16787: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0037`; number: 16787
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0037/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0037.json)

## Question 16788: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0038`; number: 16788
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0038/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0038.json)

## Question 16789: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0039`; number: 16789
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0039/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0039.json)

## Question 16790: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0040`; number: 16790
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0040/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0040.json)

## Question 16791: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0041`; number: 16791
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0041/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0041.json)

## Question 16792: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0042`; number: 16792
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0042/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0042.json)

## Question 16793: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0043`; number: 16793
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0043/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0043.json)

## Question 16794: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0044`; number: 16794
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0044/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0044.json)

## Question 16795: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0045`; number: 16795
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0045/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0045.json)

## Question 16796: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0046`; number: 16796
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0046/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0046.json)

## Question 16797: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0047`; number: 16797
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0047/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0047.json)

## Question 16798: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0048`; number: 16798
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0048/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0048.json)

## Question 16799: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0049`; number: 16799
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0049/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0049.json)

## Question 16800: Boundary Membership Is Not Just Membership in the Original Set

- ID: `q-20261014-advance-20261102-r04-topological-boundary-0050`; number: 16800
- Processing: second_context_reviewed
- MKO: [mko-topological-boundary](/en/mko/mko-topological-boundary/)
- Family: [qf-mod33-boundary-membership](/en/explore/?family=qf-mod33-boundary-membership)
- Batch: [batch-20261014-advance-20261102-r04-topological-boundary-foundations](/en/explore/?batch=batch-20261014-advance-20261102-r04-topological-boundary-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0050/) / [Markdown](/en/questions/q-20261014-advance-20261102-r04-topological-boundary-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261102-r04-topological-boundary-0050.json)

