Question

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

score 865 · Answer 1 · 2026-05-11 06:37:42

865

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

Published on 11 May 2026 - 6:37

score 417 · Answer 2 · 2026-04-15 07:18:45

417

Views

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

Published on 15 Apr 2026 - 7:18

score 94 · Answer 3 · 2026-05-11 03:07:04

94

Views

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

Published on 11 May 2026 - 3:07

score 69 · Answer 4 · 2026-05-11 07:18:43

69

Views

Characterization of compact spaces

Published on 11 May 2026 - 7:18

score 50 · Answer 5 · 2026-04-12 23:08:57

50

Views

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

Published on 12 Apr 2026 - 23:08

score 657 · Answer 6 · 2026-04-09 08:19:19

657

Views

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

Published on 09 Apr 2026 - 8:19

score 130 · Answer 7 · 2026-04-17 11:38:15

130

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 17 Apr 2026 - 11:38

score 610 · Answer 8 · 2026-05-14 14:26:06

610

Views

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

Published on 14 May 2026 - 14:26

score 96 · Answer 9 · 2026-05-11 08:31:08

96

Views

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

Published on 11 May 2026 - 8:31

score 276 · Answer 10 · 2026-05-14 16:14:14

276

Views

Sequential compactness and filters

Published on 14 May 2026 - 16:14

score 250 · Answer 11 · 2026-04-16 05:40:40

250

Views

Uniform continuity and compactness

Published on 16 Apr 2026 - 5:40

score 68 · Answer 12 · 2026-05-13 20:25:12

68

Views

Matrices of bounded linear operators

Published on 13 May 2026 - 20:25

score 326 · Answer 13 · 2026-04-13 14:35:12

326

Views

Every convergent sequence is relatively compact

Published on 13 Apr 2026 - 14:35

score 110 · Answer 14 · 2026-04-13 05:53:47

110

Views

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

Published on 13 Apr 2026 - 5:53

score 176 · Answer 15 · 2026-04-11 22:15:47

176

Views

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

Published on 11 Apr 2026 - 22:15

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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