# 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 3/4.

## Question 26651: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0076`; number: 26651
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0076/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0076/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0076.json)

## Question 26652: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0077`; number: 26652
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0077/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0077/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0077.json)

## Question 26653: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0078`; number: 26653
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0078/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0078/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0078.json)

## Question 26654: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0079`; number: 26654
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0079/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0079/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0079.json)

## Question 26655: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0080`; number: 26655
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0080/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0080/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0080.json)

## Question 26656: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0081`; number: 26656
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0081/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0081/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0081.json)

## Question 26657: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0082`; number: 26657
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0082/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0082/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0082.json)

## Question 26658: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0083`; number: 26658
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0083/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0083/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0083.json)

## Question 26659: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0084`; number: 26659
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0084/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0084/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0084.json)

## Question 26660: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0085`; number: 26660
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0085/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0085/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0085.json)

## Question 26661: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0086`; number: 26661
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0086/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0086/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0086.json)

## Question 26662: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0087`; number: 26662
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0087/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0087/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0087.json)

## Question 26663: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0088`; number: 26663
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0088/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0088/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0088.json)

## Question 26664: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0089`; number: 26664
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0089/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0089/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0089.json)

## Question 26665: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0090`; number: 26665
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0090/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0090/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0090.json)

## Question 26666: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0091`; number: 26666
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0091/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0091/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0091.json)

## Question 26667: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0092`; number: 26667
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0092/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0092/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0092.json)

## Question 26668: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0093`; number: 26668
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0093/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0093/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0093.json)

## Question 26669: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0094`; number: 26669
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0094/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0094/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0094.json)

## Question 26670: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0095`; number: 26670
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0095/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0095/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0095.json)

## Question 26671: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0096`; number: 26671
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0096/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0096/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0096.json)

## Question 26672: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0097`; number: 26672
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0097/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0097/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0097.json)

## Question 26673: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0098`; number: 26673
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0098/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0098/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0098.json)

## Question 26674: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0099`; number: 26674
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0099/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0099/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0099.json)

## Question 26675: A Disconnected Gap, Discrete Pair and Endpoint Samples Have Different Obstructions

- ID: `q-20261015-advance-20261117-r06-path-connected-space-0100`; number: 26675
- Processing: second_context_reviewed
- MKO: [mko-path-connected-space](/en/mko/mko-path-connected-space/)
- Family: [qf-mod48-path-connected-boundary](/en/explore/?family=qf-mod48-path-connected-boundary)
- Batch: [batch-20261015-advance-20261117-r06-path-connected-space-foundations](/en/explore/?batch=batch-20261015-advance-20261117-r06-path-connected-space-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0100/) / [Markdown](/en/questions/q-20261015-advance-20261117-r06-path-connected-space-0100/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261117-r06-path-connected-space-0100.json)

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