List questions from examples-counterexamples

Published on 12 Apr 2026 - 3:15

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Prove or disprove that the interior and the boundary of a connected set are connected.

Published on 02 May 2013 - 6:06

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Repetitive tiling implies finite local complexity

Published on 27 Mar 2026 - 17:51

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The range of the derivative of a differentiable function

Published on 03 May 2013 - 14:34

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Are there interesting rings without unity?

Published on 10 Apr 2026 - 2:54

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What questions become answerable/computable given an uncountable character set?

Published on 02 Apr 2026 - 1:22

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Basically disconnected space which is not extremally disconnected

Published on 11 Apr 2026 - 12:57

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Looking for a counter example for non-connected intersection of descending chain of closed connected sets

Published on 13 Apr 2026 - 1:35

240

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A natural example in category theory

Published on 07 May 2013 - 15:43

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Function that is Riemann-Stieltjes integrable but not Riemann integrable?

Published on 26 Mar 2026 - 1:29

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Making Tychonoff Corkscrew in Counterexamples in Topology rigorous?

Published on 11 Apr 2026 - 3:03

143

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Metric spaces and distance functions.

Published on 10 May 2013 - 12:04

366

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About the Pigeonhole principle

Published on 09 Apr 2026 - 5:06

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example of homotopy which is not path homotopy

Published on 10 Apr 2026 - 14:14

712

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Unique nearest point in epsilon neighborhood of compact real manifold?

Published on 12 May 2013 - 16:53

List Question

Example of topological space $(X,\tau)$ is Hausdorff but not discrete.

Prove or disprove that the interior and the boundary of a connected set are connected.

Repetitive tiling implies finite local complexity

The range of the derivative of a differentiable function

Are there interesting rings without unity?

What questions become answerable/computable given an uncountable character set?

Basically disconnected space which is not extremally disconnected

Looking for a counter example for non-connected intersection of descending chain of closed connected sets

A natural example in category theory

Function that is Riemann-Stieltjes integrable but not Riemann integrable?

Making Tychonoff Corkscrew in Counterexamples in Topology rigorous?

Metric spaces and distance functions.

About the Pigeonhole principle

example of homotopy which is not path homotopy

Unique nearest point in epsilon neighborhood of compact real manifold?

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