List questions from compactness

Published on 13 Apr 2026 - 4:52

592

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If $X$ is not compact, then $X\times Y$ is not compact

Published on 11 Apr 2026 - 22:21

881

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Example of a compact subset that is not closed

Published on 10 May 2026 - 16:00

83

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Continuous function defined in spheres

Published on 10 Apr 2026 - 21:12

85

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Is $S= \{x:x(\omega)\geq 1,x\in C(\Omega)\}$ closed or compact where $\Omega$ is a compact metric space?

Published on 15 Apr 2026 - 18:09

45

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Subsequence in compact metrical space

Published on 11 Apr 2026 - 22:57

38

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A curiosity on covers of compact

Published on 11 Apr 2026 - 20:16

293

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$U(n)$ is a Maximal Compact Subgroup

Published on 11 Apr 2026 - 23:51

225

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Totally bounded space.

Published on 16 Apr 2026 - 4:41

163

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Countably compact if and only if countable closed sets are compact

Published on 15 Apr 2026 - 3:25

39

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Uniform convergence for sections of functions

Published on 11 May 2026 - 9:29

89

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About a metric space

Published on 10 Apr 2026 - 8:41

41

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Is this map proper?

Published on 11 May 2026 - 9:24

75

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Compact and open sets

Published on 12 Apr 2026 - 10:59

68

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If $A \subset \Bbb R^n$ is compact and $x_o \in \Bbb R^m$, then $A \times \{x_o\}$ is compact.

Published on 15 Apr 2026 - 6:11

List Question

Subset of metric space is bounded and closed but not compact.

If $X$ is not compact, then $X\times Y$ is not compact

Example of a compact subset that is not closed

Continuous function defined in spheres

Is $S= \{x:x(\omega)\geq 1,x\in C(\Omega)\}$ closed or compact where $\Omega$ is a compact metric space?

Subsequence in compact metrical space

A curiosity on covers of compact

$U(n)$ is a Maximal Compact Subgroup

Totally bounded space.

Countably compact if and only if countable closed sets are compact

Uniform convergence for sections of functions

About a metric space

Is this map proper?

Compact and open sets

If $A \subset \Bbb R^n$ is compact and $x_o \in \Bbb R^m$, then $A \times \{x_o\}$ is compact.

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