Question

Countable fundamental system of neighbourhoods in a compact Hausdorff space?

score 135 · Answer 1 · 2026-04-12 23:06:37

135

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Countable fundamental system of neighbourhoods in a compact Hausdorff space?

Published on 12 Apr 2026 - 23:06

score 211 · Answer 2 · 2026-04-12 13:20:38

211

Views

intersection of two relatively compact spaces

Published on 12 Apr 2026 - 13:20

score 68 · Answer 3 · 2026-04-12 00:59:21

68

Views

Can a countably infinite compact topological space have isolated point? Can it admit a minimal subsystem?

Published on 12 Apr 2026 - 0:59

score 360 · Answer 4 · 2026-03-26 01:29:20

360

Views

Have you ever seen this result about pointwise/uniform convergence of a net of continuous functions?

Published on 26 Mar 2026 - 1:29

score 363 · Answer 5 · 2026-04-12 14:09:42

363

Views

Alternate proof for Arzela-Ascoli

Published on 12 Apr 2026 - 14:09

score 193 · Answer 6 · 2026-04-13 05:21:43

193

Views

For compact $A$, $\inf\{\varrho(y,x) : y \in A\}=\varrho(a,x)$

Published on 13 Apr 2026 - 5:21

score 179 · Answer 7 · 2026-04-10 02:19:26

179

Views

Is every compact totally ordered space homeomorphic to a subset of $[0,1]$?

Published on 10 Apr 2026 - 2:19

score 47 · Answer 8 · 2026-04-09 07:13:25

47

Views

Two (maybe nonequivalent) definitions of local compactness

Published on 09 Apr 2026 - 7:13

score 2.2k · Answer 9 · 2015-06-15 15:34:55

2.2k

Views

Point-wise bounded and equicontinuous sequence of functions has a uniformly convergent subsequence

Published on 15 Jun 2015 - 15:34

score 85 · Answer 10 · 2026-04-13 09:01:20

85

Views

example of a particular topological group

Published on 13 Apr 2026 - 9:01

score 123 · Answer 11 · 2026-04-13 04:24:33

123

Views

Compacts And The Reciprocal Of The Weierstrass Theorem

Published on 13 Apr 2026 - 4:24

score 69 · Answer 12 · 2026-04-11 01:18:44

69

Views

Existence of a open set between a compact and an open set

Published on 11 Apr 2026 - 1:18

score 3.8k · Answer 13 · 2026-04-10 10:22:40

3.8k

Views

Continuous function from a compact space to a Hausdorff space is a closed function

Published on 10 Apr 2026 - 10:22

score 67 · Answer 14 · 2026-04-12 17:11:10

67

Views

Why is $\Bbb R\setminus\{\frac1n\mid n\in\Bbb N\}$ not locally compact?

Published on 12 Apr 2026 - 17:11

score 714 · Answer 15 · 2026-04-10 02:03:46

714

Views

How to define metric in the Space of Holomorphic Functions?

Published on 10 Apr 2026 - 2:03

List Question

Countable fundamental system of neighbourhoods in a compact Hausdorff space?

intersection of two relatively compact spaces

Can a countably infinite compact topological space have isolated point? Can it admit a minimal subsystem?

Have you ever seen this result about pointwise/uniform convergence of a net of continuous functions?

Alternate proof for Arzela-Ascoli

For compact $A$, $\inf\{\varrho(y,x) : y \in A\}=\varrho(a,x)$

Is every compact totally ordered space homeomorphic to a subset of $[0,1]$?

Two (maybe nonequivalent) definitions of local compactness

Point-wise bounded and equicontinuous sequence of functions has a uniformly convergent subsequence

example of a particular topological group

Compacts And The Reciprocal Of The Weierstrass Theorem

Existence of a open set between a compact and an open set

Continuous function from a compact space to a Hausdorff space is a closed function

Why is $\Bbb R\setminus\{\frac1n\mid n\in\Bbb N\}$ not locally compact?

How to define metric in the Space of Holomorphic Functions?

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