List questions from compactness

Published on 11 Apr 2026 - 22:37

71

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Function on compact set does not expands distance

Published on 10 Apr 2026 - 14:27

92

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Measure of non-compactness

Published on 29 Mar 2026 - 4:03

266

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C-Algebra generated by self-adjoint Elements of commutative unital C-Algebra

Published on 04 Apr 2026 - 2:30

1k

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Image of a compact set under a linear transformation

Published on 10 Apr 2026 - 20:10

102

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$A \subset E^n$ positive volume, $f$ positive valued on $A$ such that $\int_{A}f$ exists, then $\int_{A}f > 0$

Published on 05 Apr 2026 - 21:49

51

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if f is continuous in a sequence of sets is it continuous in the union of them?

Published on 12 Apr 2026 - 21:10

408

Views

Prove that if $f$ is a bounded continuous function then $G$ is compact.

Published on 15 Apr 2026 - 13:47

36

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Compact spaces applicability

Published on 12 Apr 2026 - 5:02

124

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Normed Vector Space & Compactness

Published on 16 Apr 2026 - 17:05

82

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Given a set does there exist a topology on that set that makes it compact?

Published on 05 Dec 2015 - 17:55

1.4k

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Why is this set compact in $L^2(\mathbb{N})$?

Published on 20 Apr 2026 - 18:45

766

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Which spaces are relatively compact and connected?

Published on 06 Dec 2015 - 5:17

61

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M compact. $(x_n)$ converges if and only if $(x_n)$ has only one closure point

Published on 16 Apr 2026 - 6:37

366

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How to show whether the following sets are compact or not:

Published on 12 Apr 2026 - 22:10

List Question

Is there a mistake in the solution given to this exercise?(compact linear operators)

Function on compact set does not expands distance

Measure of non-compactness

C-Algebra generated by self-adjoint Elements of commutative unital C-Algebra

Image of a compact set under a linear transformation

$A \subset E^n$ positive volume, $f$ positive valued on $A$ such that $\int_{A}f$ exists, then $\int_{A}f > 0$

if f is continuous in a sequence of sets is it continuous in the union of them?

Prove that if $f$ is a bounded continuous function then $G$ is compact.

Compact spaces applicability

Normed Vector Space & Compactness

Given a set does there exist a topology on that set that makes it compact?

Why is this set compact in $L^2(\mathbb{N})$?

Which spaces are relatively compact and connected?

M compact. $(x_n)$ converges if and only if $(x_n)$ has only one closure point

How to show whether the following sets are compact or not:

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