Question

Is compactness required for the set in Fenchel-Eggleston theorem

score 555 · Answer 1 · 2018-05-03 19:15:34

555

Views

Is compactness required for the set in Fenchel-Eggleston theorem

Published on 03 May 2018 - 19:15

score 172 · Answer 2 · 2018-05-03 21:34:48

172

Views

Maximal open cover in the context of Alexander subbase theorem

Published on 03 May 2018 - 21:34

score 2.4k · Answer 3 · 2018-05-04 13:02:24

2.4k

Views

every open set can be expressed as a countable union of compact sets

Published on 04 May 2018 - 13:02

score 3.1k · Answer 4 · 2026-03-25 23:08:03

3.1k

Views

Homeomorphism preserve compactness and conectedness

Published on 25 Mar 2026 - 23:08

score 52 · Answer 5 · 2018-05-04 15:46:28

52

Views

$X\neq \varnothing$ topological space that is Compact and Haussdorf without an isolated elements.

Published on 04 May 2018 - 15:46

score 114 · Answer 6 · 2026-03-25 22:10:02

114

Views

There exist no continuous one one onto (Bijective ) function form $[0,1]$ $\to$ $[0,1]\times[0,1]$

Published on 25 Mar 2026 - 22:10

score 17 · Answer 7 · 2018-05-05 15:54:53

17

Views

Natural examples of elements of $C(X, X)$

Published on 05 May 2018 - 15:54

score 67 · Answer 8 · 2018-05-05 17:20:38

67

Views

Is this short proof correct? distance between sets

Published on 05 May 2018 - 17:20

score 44 · Answer 9 · 2018-05-06 13:41:58

44

Views

Existence of an infinite countable compact subset of $\mathbf{R}$

Published on 06 May 2018 - 13:41

score 234 · Answer 10 · 2018-05-06 18:25:47

234

Views

$f:X\to Y$ continuous, $X$ compact, $g:Y\to Z$ such that $g\circ f$ is continuous $\implies$ $g$ is continuous

Published on 06 May 2018 - 18:25

score 156 · Answer 11 · 2026-03-27 15:14:11

156

Views

$T_1$-space with compact dense subset

Published on 27 Mar 2026 - 15:14

score 525 · Answer 12 · 2018-05-07 17:58:37

525

Views

Family of bounded functions which are pointwise bounded is bounded.

Published on 07 May 2018 - 17:58

score 339 · Answer 13 · 2026-03-25 23:16:37

339

Views

Is connectedness required to show that an analytic function with no zeros in a compact set but constant modulus on the boundary is constant?

Published on 25 Mar 2026 - 23:16

score 86 · Answer 14 · 2018-05-09 20:19:33

86

Views

Variation of Tietze extension theorem

Published on 09 May 2018 - 20:19

score 159 · Answer 15 · 2026-03-22 18:55:50

159

Views

Showing a set is compact using Arzelà–Ascoli theorem

Published on 22 Mar 2026 - 18:55

List Question

Is compactness required for the set in Fenchel-Eggleston theorem

Maximal open cover in the context of Alexander subbase theorem

every open set can be expressed as a countable union of compact sets

Homeomorphism preserve compactness and conectedness

$X\neq \varnothing$ topological space that is Compact and Haussdorf without an isolated elements.

There exist no continuous one one onto (Bijective ) function form $[0,1]$ $\to$ $[0,1]\times[0,1]$

Natural examples of elements of $C(X, X)$

Is this short proof correct? distance between sets

Existence of an infinite countable compact subset of $\mathbf{R}$

$f:X\to Y$ continuous, $X$ compact, $g:Y\to Z$ such that $g\circ f$ is continuous $\implies$ $g$ is continuous

$T_1$-space with compact dense subset

Family of bounded functions which are pointwise bounded is bounded.

Is connectedness required to show that an analytic function with no zeros in a compact set but constant modulus on the boundary is constant?

Variation of Tietze extension theorem

Showing a set is compact using Arzelà–Ascoli theorem

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