Question

Proof of Heine-Borel Theorem; Bartle

score 109 · Answer 1 · 2026-04-12 18:45:24

109

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Proof of Heine-Borel Theorem; Bartle

Published on 12 Apr 2026 - 18:45

score 105 · Answer 2 · 2026-04-11 01:11:06

105

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A compact space whose proper compact subspaces are finite

Published on 11 Apr 2026 - 1:11

score 73 · Answer 3 · 2026-04-16 09:48:14

73

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If $A$ and $B$ are compact sets in $M$, show that $A\cup B$ is compact

Published on 16 Apr 2026 - 9:48

score 128 · Answer 4 · 2026-04-15 21:04:44

128

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If $A$ and $B$ are compact sets in $M$, show that $A\cap B$ is compact

Published on 15 Apr 2026 - 21:04

score 18 · Answer 5 · 2026-04-12 15:22:01

18

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Generalizing an existing theorem which is true for compact state space to Polish state space under stronger/new assumptions

Published on 12 Apr 2026 - 15:22

score 72 · Answer 6 · 2026-04-15 06:35:47

72

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Published on 15 Apr 2026 - 6:35

score 126 · Answer 7 · 2026-05-10 21:13:36

126

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One-point compactification problem 2

Published on 10 May 2026 - 21:13

score 1k · Answer 8 · 2026-04-10 08:44:05

1k

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Proof Question: Continuous Functions on Compact Domains are uniformly continuous

Published on 10 Apr 2026 - 8:44

score 54 · Answer 9 · 2026-05-11 03:01:20

54

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Using the sequence definitions, if $X$ is compact, prove that $X$ is complete

Published on 11 May 2026 - 3:01

score 107 · Answer 10 · 2026-05-10 16:15:19

107

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Compactness and countably compactness in metric spaces

Published on 10 May 2026 - 16:15

score 222 · Answer 11 · 2026-04-15 10:02:44

222

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Are the three notions of compactness equivalent for uniform spaces?

Published on 15 Apr 2026 - 10:02

score 138 · Answer 12 · 2026-04-12 08:03:56

138

Views

Baby Rudin ch4 ex6: $f$ is continuous on $E$, which is compact, if and only if its graph is compact.

Published on 12 Apr 2026 - 8:03

score 420 · Answer 13 · 2026-04-11 08:38:34

420

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An open set in complex plane is the countable union of compact sets and locally compact hausdorff

Published on 11 Apr 2026 - 8:38

score 1.9k · Answer 14 · 2026-04-11 09:49:48

1.9k

Views

Help understanding proof that if every open cover of S has a finite subcover then it is compact.

Published on 11 Apr 2026 - 9:49

score 36 · Answer 15 · 2026-05-04 08:39:44

36

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Is the Gaussian function a coercive function?

Published on 04 May 2026 - 8:39

List Question

Proof of Heine-Borel Theorem; Bartle

A compact space whose proper compact subspaces are finite

If $A$ and $B$ are compact sets in $M$, show that $A\cup B$ is compact

If $A$ and $B$ are compact sets in $M$, show that $A\cap B$ is compact

Generalizing an existing theorem which is true for compact state space to Polish state space under stronger/new assumptions

Prove that if $(M,\ d)$ is compact, every infinite subset of $M$ has a limit point

One-point compactification problem 2

Proof Question: Continuous Functions on Compact Domains are uniformly continuous

Using the sequence definitions, if $X$ is compact, prove that $X$ is complete

Compactness and countably compactness in metric spaces

Are the three notions of compactness equivalent for uniform spaces?

Baby Rudin ch4 ex6: $f$ is continuous on $E$, which is compact, if and only if its graph is compact.

An open set in complex plane is the countable union of compact sets and locally compact hausdorff

Help understanding proof that if every open cover of S has a finite subcover then it is compact.

Is the Gaussian function a coercive function?

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