Question

Complete metric space in which the large balls are not compact.

score 862 · Answer 1 · 2026-03-25 21:01:21

862

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Complete metric space in which the large balls are not compact.

Published on 25 Mar 2026 - 21:01

score 414 · Answer 2 · 2018-12-28 21:49:00

414

Views

Nested descreasing intersection of nonempty covering compact sets is nonempty (check proof)

Published on 28 Dec 2018 - 21:49

score 91 · Answer 3 · 2026-03-25 22:26:04

91

Views

Possible characterization of compact metric spaces via real-valued uniformly continuous functions?

Published on 25 Mar 2026 - 22:26

score 67 · Answer 4 · 2026-03-25 11:12:09

67

Views

Characterization of compact spaces

Published on 25 Mar 2026 - 11:12

score 47 · Answer 5 · 2018-12-30 15:30:10

47

Views

Why it is needed to show $X$ is a subspace of $Y$ in the one point compactification theorem?

Published on 30 Dec 2018 - 15:30

score 656 · Answer 6 · 2026-02-23 03:31:10

656

Views

Use of the diagonal argument in the proof of the Arzela Ascoli theorem

Published on 23 Feb 2026 - 3:31

score 128 · Answer 7 · 2026-03-29 18:37:24

128

Views

Is the set of sequences $(x_n)$ in $\ell^1$ such that $|x_n|\leqslant\frac1n$ for every $n$, compact in $\ell^1$?

Published on 29 Mar 2026 - 18:37

score 607 · Answer 8 · 2026-03-29 19:56:53

607

Views

Sequential compactness $\rightarrow$ limit point compactness and axiom of choice

Published on 29 Mar 2026 - 19:56

score 93 · Answer 9 · 2026-03-26 12:53:03

93

Views

Verifying an inequality if $A \subset \Bbb{C}$ is compact?

Published on 26 Mar 2026 - 12:53

score 272 · Answer 10 · 2019-01-02 12:28:10

272

Views

Sequential compactness and filters

Published on 02 Jan 2019 - 12:28

score 248 · Answer 11 · 2026-03-27 06:15:20

248

Views

Uniform continuity and compactness

Published on 27 Mar 2026 - 6:15

score 65 · Answer 12 · 2026-03-25 14:20:01

65

Views

Matrices of bounded linear operators

Published on 25 Mar 2026 - 14:20

score 324 · Answer 13 · 2026-03-28 17:05:50

324

Views

Every convergent sequence is relatively compact

Published on 28 Mar 2026 - 17:05

score 107 · Answer 14 · 2019-01-04 17:18:15

107

Views

Does there exist a compact topological space that doesn't possess the Bolzano-Weierstrass property?

Published on 04 Jan 2019 - 17:18

score 173 · Answer 15 · 2019-01-05 22:24:05

173

Views

Using Zorn's lemma for a proof about irreducible continuous functions.

Published on 05 Jan 2019 - 22:24

List Question

Complete metric space in which the large balls are not compact.

Nested descreasing intersection of nonempty covering compact sets is nonempty (check proof)

Possible characterization of compact metric spaces via real-valued uniformly continuous functions?

Characterization of compact spaces

Why it is needed to show $X$ is a subspace of $Y$ in the one point compactification theorem?

Use of the diagonal argument in the proof of the Arzela Ascoli theorem

Is the set of sequences $(x_n)$ in $\ell^1$ such that $|x_n|\leqslant\frac1n$ for every $n$, compact in $\ell^1$?

Sequential compactness $\rightarrow$ limit point compactness and axiom of choice

Verifying an inequality if $A \subset \Bbb{C}$ is compact?

Sequential compactness and filters

Uniform continuity and compactness

Matrices of bounded linear operators

Every convergent sequence is relatively compact

Does there exist a compact topological space that doesn't possess the Bolzano-Weierstrass property?

Using Zorn's lemma for a proof about irreducible continuous functions.

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