Question

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

score 37 · Answer 1 · 2026-03-25 06:21:38

37

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

Published on 25 Mar 2026 - 6:21

score 440 · Answer 2 · 2018-03-19 22:40:42

440

Views

Finding a domain with $C^1$ boundary

Published on 19 Mar 2018 - 22:40

score 4.1k · Answer 3 · 2018-03-20 07:07:54

4.1k

Views

Show the continuous image of a compact set is compact.

Published on 20 Mar 2018 - 7:07

score 979 · Answer 4 · 2018-03-20 18:08:30

979

Views

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

Published on 20 Mar 2018 - 18:08

score 257 · Answer 5 · 2026-03-25 11:54:16

257

Views

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

Published on 25 Mar 2026 - 11:54

score 117 · Answer 6 · 2018-03-21 10:46:02

117

Views

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

Published on 21 Mar 2018 - 10:46

score 73 · Answer 7 · 2018-03-22 08:28:08

73

Views

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

Published on 22 Mar 2018 - 8:28

score 346 · Answer 8 · 2018-03-22 15:12:34

346

Views

Continuous function over compact subset and non-degenerate critical points

Published on 22 Mar 2018 - 15:12

score 283 · Answer 9 · 2018-03-23 10:21:16

283

Views

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

Published on 23 Mar 2018 - 10:21

score 41 · Answer 10 · 2018-03-23 17:09:58

41

Views

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

Published on 23 Mar 2018 - 17:09

score 244 · Answer 11 · 2026-03-25 16:15:10

244

Views

Compactness implies closedness

Published on 25 Mar 2026 - 16:15

score 193 · Answer 12 · 2026-03-22 03:51:35

193

Views

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

Published on 22 Mar 2026 - 3:51

score 1.9k · Answer 13 · 2018-03-24 18:24:15

1.9k

Views

Countably compact metric space is compact

Published on 24 Mar 2018 - 18:24

score 1.9k · Answer 14 · 2018-03-24 19:19:09

1.9k

Views

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

Published on 24 Mar 2018 - 19:19

score 272 · Answer 15 · 2026-03-25 06:12:40

272

Views

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

Published on 25 Mar 2026 - 6:12

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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