Question

Example of infinite , compact, path connected metric space $X$ which is homeomorphic to $X \times X$?

score 40 · Answer 1 · 2026-05-10 13:50:25

40

Views

Example of infinite , compact, path connected metric space $X$ which is homeomorphic to $X \times X$?

Published on 10 May 2026 - 13:50

score 443 · Answer 2 · 2026-04-12 18:57:52

443

Views

Finding a domain with $C^1$ boundary

Published on 12 Apr 2026 - 18:57

score 4.1k · Answer 3 · 2026-04-12 05:45:26

4.1k

Views

Show the continuous image of a compact set is compact.

Published on 12 Apr 2026 - 5:45

score 982 · Answer 4 · 2026-04-11 07:07:30

982

Views

Proof of compactness of subset S of a compact set K contained in an open set.

Published on 11 Apr 2026 - 7:07

score 262 · Answer 5 · 2026-05-10 19:16:41

262

Views

Equibounded $L_1[0,1]$ is not compact metric space with cardinality $2^\mathbb{R}$?

Published on 10 May 2026 - 19:16

score 120 · Answer 6 · 2026-04-13 13:40:25

120

Views

Which of the following of subspaces of $\mathbb{R^2}$ are compact?

Published on 13 Apr 2026 - 13:40

score 76 · Answer 7 · 2026-04-11 23:09:48

76

Views

Exercise of the book "Rings of Continuous Functions" by Leonard Gillman. Explanation

Published on 11 Apr 2026 - 23:09

score 349 · Answer 8 · 2026-04-11 11:31:45

349

Views

Continuous function over compact subset and non-degenerate critical points

Published on 11 Apr 2026 - 11:31

score 286 · Answer 9 · 2026-04-13 09:40:54

286

Views

Proof Verification - If E is an infinite subset of a compact set K, then E has a limit point in K

Published on 13 Apr 2026 - 9:40

score 44 · Answer 10 · 2026-04-14 17:27:30

44

Views

Prove that closed subspaces of a compact space are compact as well.

Published on 14 Apr 2026 - 17:27

score 251 · Answer 11 · 2026-05-13 17:55:40

251

Views

Compactness implies closedness

Published on 13 May 2026 - 17:55

score 202 · Answer 12 · 2026-04-29 12:51:00

202

Views

Why are compact Hausdorff spaces divisible - and other uniformity related questions

Published on 29 Apr 2026 - 12:51

score 1.9k · Answer 13 · 2026-04-12 22:53:22

1.9k

Views

Countably compact metric space is compact

Published on 12 Apr 2026 - 22:53

score 1.9k · Answer 14 · 2026-04-15 16:22:01

1.9k

Views

Prove $C$ is compact $\iff$ every sequence in $C$ has a subsequence that converges to a point in $C$

Published on 15 Apr 2026 - 16:22

score 275 · Answer 15 · 2026-05-10 12:58:18

275

Views

Is the space of finite Radon measures, equipped with weak topology, locally compact?

Published on 10 May 2026 - 12:58

List Question

Example of infinite , compact, path connected metric space $X$ which is homeomorphic to $X \times X$?

Finding a domain with $C^1$ boundary

Show the continuous image of a compact set is compact.

Proof of compactness of subset S of a compact set K contained in an open set.

Equibounded $L_1[0,1]$ is not compact metric space with cardinality $2^\mathbb{R}$?

Which of the following of subspaces of $\mathbb{R^2}$ are compact?

Exercise of the book "Rings of Continuous Functions" by Leonard Gillman. Explanation

Continuous function over compact subset and non-degenerate critical points

Proof Verification - If E is an infinite subset of a compact set K, then E has a limit point in K

Prove that closed subspaces of a compact space are compact as well.

Compactness implies closedness

Why are compact Hausdorff spaces divisible - and other uniformity related questions

Countably compact metric space is compact

Prove $C$ is compact $\iff$ every sequence in $C$ has a subsequence that converges to a point in $C$

Is the space of finite Radon measures, equipped with weak topology, locally compact?

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