List questions from compactness

Published on 13 Apr 2026 - 12:28

193

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Checking the compactness of sets

Published on 14 Apr 2026 - 6:45

137

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Uniform convergence of a equicontinuous sequence of functions

Published on 11 Apr 2026 - 16:19

452

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Question about the proof that the Hilbert Cube is compact.

Published on 11 Apr 2026 - 19:02

115

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Comparing different definitions of tightness for measures

Published on 09 Apr 2026 - 11:06

303

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Compact set and a sequence of closed sets, the intersection of all of them is empty

Published on 15 Apr 2026 - 1:33

398

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Prove that $\overline{f(A)}\subseteq f(\overline{A})$ where $f: X \rightarrow Y$ is continuous, $X$ is compact and $A \subseteq X$

Published on 16 Apr 2026 - 1:24

80

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Complement of compact subspace of surface

Published on 31 Mar 2026 - 17:46

1.2k

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Defining compact sets with closed covers

Published on 12 Apr 2026 - 22:56

225

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$M\times N$ compact $\implies$ $M$ compact and $N$ compact

Published on 16 Apr 2026 - 22:31

1.2k

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Intersection of Compact sets Contained in Open Set

Published on 14 Apr 2026 - 10:50

95

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Does being Nonempty Compact Set on $\mathbb{R^+_2}$ imply being Convex set?

Published on 08 Apr 2026 - 18:59

41

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Is $\{(x,y) \in \mathbb R^2 \mid x^2 + x^3y^2 = 0\}$ compact in $(\mathbb R^2, \mathcal E_2)$?

Published on 15 Apr 2026 - 15:10

120

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Equivalence between properties of compactness for metric spaces

Published on 10 Apr 2026 - 10:38

153

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On comparing two different notions of compactly generated space

Published on 14 Apr 2026 - 6:01

List Question

Continuous map on $S^2$

Checking the compactness of sets

Uniform convergence of a equicontinuous sequence of functions

Question about the proof that the Hilbert Cube is compact.

Comparing different definitions of tightness for measures

Compact set and a sequence of closed sets, the intersection of all of them is empty

Prove that $\overline{f(A)}\subseteq f(\overline{A})$ where $f: X \rightarrow Y$ is continuous, $X$ is compact and $A \subseteq X$

Complement of compact subspace of surface

Defining compact sets with closed covers

$M\times N$ compact $\implies$ $M$ compact and $N$ compact

Intersection of Compact sets Contained in Open Set

Does being Nonempty Compact Set on $\mathbb{R^+_2}$ imply being Convex set?

Is $\{(x,y) \in \mathbb R^2 \mid x^2 + x^3y^2 = 0\}$ compact in $(\mathbb R^2, \mathcal E_2)$?

Equivalence between properties of compactness for metric spaces

On comparing two different notions of compactly generated space

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