Question

Proof with set compactness with river metric

score 337 · Answer 1 · 2014-11-04 21:37:14

337

Views

Proof with set compactness with river metric

Published on 04 Nov 2014 - 21:37

score 73 · Answer 2 · 2014-11-06 22:20:38

73

Views

Give an example of an infinite compact set $A$ such that its supremum is not a limit point

Published on 06 Nov 2014 - 22:20

score 54 · Answer 3 · 2014-11-08 05:07:45

54

Views

Problem of a compact space

Published on 08 Nov 2014 - 5:07

score 146 · Answer 4 · 2014-11-08 05:43:30

146

Views

If $X\neq\varnothing$ and $\tau=\{\varnothing, X\}$, then any subset of $X$ is compact.

Published on 08 Nov 2014 - 5:43

score 856 · Answer 5 · 2014-11-08 08:51:28

856

Views

Compact subspace of $\mathbb{R}$ with lower limit topology must be countable.

Published on 08 Nov 2014 - 8:51

score 57 · Answer 6 · 2014-11-08 15:47:37

57

Views

continuity of a map on a $T_2$ space

Published on 08 Nov 2014 - 15:47

score 312 · Answer 7 · 2014-11-08 17:05:21

312

Views

prove: a complete metric space $X$ is compact if and only if ...

Published on 08 Nov 2014 - 17:05

score 136 · Answer 8 · 2014-11-09 12:41:20

136

Views

Closedness of Continuous Mappings from Compact Metric Space to Compact Metric Space

Published on 09 Nov 2014 - 12:41

score 3.1k · Answer 9 · 2014-11-10 04:21:19

3.1k

Views

Give an example of a set that is closed but not compact nor bounded. Prove your answer.

Published on 10 Nov 2014 - 4:21

score 94 · Answer 10 · 2014-11-11 11:11:46

94

Views

Showing compactness of complete metric space

Published on 11 Nov 2014 - 11:11

score 867 · Answer 11 · 2014-11-11 19:01:32

867

Views

Differentiable Manifold minus point not compact

Published on 11 Nov 2014 - 19:01

score 475 · Answer 12 · 2014-11-11 22:04:32

475

Views

Proof with compact sets in Hausdorff space

Published on 11 Nov 2014 - 22:04

score 333 · Answer 13 · 2026-03-31 18:20:16

333

Views

Examples of non-compact connected spaces with the property...

Published on 31 Mar 2026 - 18:20

score 382 · Answer 14 · 2014-11-13 14:09:12

382

Views

$C_b(X)$ is non-separable for $X$ non-compact

Published on 13 Nov 2014 - 14:09

score 315 · Answer 15 · 2026-03-31 18:25:59

315

Views

Would a connected space contain a compact subspace

Published on 31 Mar 2026 - 18:25

List Question

Proof with set compactness with river metric

Give an example of an infinite compact set $A$ such that its supremum is not a limit point

Problem of a compact space

If $X\neq\varnothing$ and $\tau=\{\varnothing, X\}$, then any subset of $X$ is compact.

Compact subspace of $\mathbb{R}$ with lower limit topology must be countable.

continuity of a map on a $T_2$ space

prove: a complete metric space $X$ is compact if and only if ...

Closedness of Continuous Mappings from Compact Metric Space to Compact Metric Space

Give an example of a set that is closed but not compact nor bounded. Prove your answer.

Showing compactness of complete metric space

Differentiable Manifold minus point not compact

Proof with compact sets in Hausdorff space

Examples of non-compact connected spaces with the property...

$C_b(X)$ is non-separable for $X$ non-compact

Would a connected space contain a compact subspace

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