List questions from compactness

Published on 17 Feb 2015 - 5:11

202

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Clarification of Open cover

Published on 11 Apr 2026 - 17:58

879

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How to define a compactly generated space?

Published on 10 Apr 2026 - 6:20

904

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On a decreasing sequence of compact subsets of a Hausdorff topological space

Published on 22 Feb 2015 - 20:23

62

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Homeomorphic to $ [0,1]$?

Published on 11 Apr 2026 - 10:08

196

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Proving a topological space is separable

Published on 23 Feb 2015 - 5:55

633

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Compact set and continuous function

Published on 11 Apr 2026 - 6:50

561

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Theorem 4.20 in Baby Rudin: How is this map not uniformly continuous?

Published on 31 Mar 2026 - 21:01

897

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Theorem 4.20(c) in Baby Rudin: Is every continuous function whose domain is an unbounded subset of $\mathbb{R}$ uniformly continuous?

Published on 31 Mar 2026 - 21:01

396

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Recursive use of the Axiom of Choice

Published on 02 Apr 2026 - 15:51

2.3k

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Compact normed vector space

Published on 26 Feb 2015 - 10:55

311

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For normed vectorspaces $V$, $A,B \subset V$ if $A$ is compact and $B$ is closed then $A+B$ is closed

Published on 27 Feb 2015 - 15:01

44

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Annulus containing a circunference

Published on 01 Mar 2015 - 11:24

62

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Compact sets and Open sets in a metric space

Published on 02 Mar 2015 - 12:55

745

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open subspace of locally compact

Published on 09 Apr 2026 - 17:21

List Question

If a set is closed and unbounded, is it still possible for it to be sequentially compact?

Clarification of Open cover

How to define a compactly generated space?

On a decreasing sequence of compact subsets of a Hausdorff topological space

Homeomorphic to $ [0,1]$?

Proving a topological space is separable

Compact set and continuous function

Theorem 4.20 in Baby Rudin: How is this map not uniformly continuous?

Theorem 4.20(c) in Baby Rudin: Is every continuous function whose domain is an unbounded subset of $\mathbb{R}$ uniformly continuous?

Recursive use of the Axiom of Choice

Compact normed vector space

For normed vectorspaces $V$, $A,B \subset V$ if $A$ is compact and $B$ is closed then $A+B$ is closed

Annulus containing a circunference

Compact sets and Open sets in a metric space

open subspace of locally compact

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