Question

Is there a sequence of nested entourages $\{U_n\}$ with $\bigcap U_n=\Delta_X$, if $X$ is compact Hausdorff uniform space

score 37 · Answer 1 · 2020-08-23 09:50:20

37

Views

Is there a sequence of nested entourages $\{U_n\}$ with $\bigcap U_n=\Delta_X$, if $X$ is compact Hausdorff uniform space

Published on 23 Aug 2020 - 9:50

score 45 · Answer 2 · 2020-08-27 11:03:19

45

Views

A question regarding 'Uniformization' theorem : connection between a topological space and a uniform spaces

Published on 27 Aug 2020 - 11:03

score 119 · Answer 3 · 2020-09-09 19:46:37

119

Views

A uniformity for a space is pseudometrizable iff it has a countable base

Published on 09 Sep 2020 - 19:46

score 32 · Answer 4 · 2020-09-22 17:02:57

32

Views

A separated uniformity on a set having more than one point never converges as a filter for its product topology

Published on 22 Sep 2020 - 17:02

score 115 · Answer 5 · 2020-09-24 16:55:05

115

Views

Show that any compact uniform space (compact for the topology of the uniformity) is complete

Published on 24 Sep 2020 - 16:55

score 52 · Answer 6 · 2020-10-07 01:02:12

52

Views

Uniform spaces, Dugundji chapter 9, section 11

Published on 07 Oct 2020 - 1:02

score 46 · Answer 7 · 2020-10-14 14:10:37

46

Views

Understanding mapping from space of uniformly spaced points to non-uniformly spaced points

Published on 14 Oct 2020 - 14:10

score 359 · Answer 8 · 2026-02-23 06:35:00

359

Views

Is every zero-dimensional metrisable space ultrametrisable?

Published on 23 Feb 2026 - 6:35

score 170 · Answer 9 · 2020-10-29 23:05:40

170

Views

Intersection of nested open sets in compact Hausdorff space

Published on 29 Oct 2020 - 23:05

score 28 · Answer 10 · 2020-10-31 13:50:11

28

Views

A question about normal space and uniform space

Published on 31 Oct 2020 - 13:50

score 247 · Answer 11 · 2020-12-08 02:06:21

247

Views

What happened to bornological/uniform spaces?

Published on 08 Dec 2020 - 2:06

score 69 · Answer 12 · 2021-01-22 08:20:18

69

Views

Definitions of uniform space

Published on 22 Jan 2021 - 8:20

score 33 · Answer 13 · 2021-02-08 08:27:21

33

Views

Relation between entourages and finite open covers of compact Hausdorff spaces

Published on 08 Feb 2021 - 8:27

score 376 · Answer 14 · 2021-02-10 01:36:12

376

Views

Equivalence of metric

Published on 10 Feb 2021 - 1:36

score 204 · Answer 15 · 2021-02-17 12:09:26

204

Views

Topology of local uniform convergence

Published on 17 Feb 2021 - 12:09

List Question

Is there a sequence of nested entourages $\{U_n\}$ with $\bigcap U_n=\Delta_X$, if $X$ is compact Hausdorff uniform space

A question regarding 'Uniformization' theorem : connection between a topological space and a uniform spaces

A uniformity for a space is pseudometrizable iff it has a countable base

A separated uniformity on a set having more than one point never converges as a filter for its product topology

Show that any compact uniform space (compact for the topology of the uniformity) is complete

Uniform spaces, Dugundji chapter 9, section 11

Understanding mapping from space of uniformly spaced points to non-uniformly spaced points

Is every zero-dimensional metrisable space ultrametrisable?

Intersection of nested open sets in compact Hausdorff space

A question about normal space and uniform space

What happened to bornological/uniform spaces?

Definitions of uniform space

Relation between entourages and finite open covers of compact Hausdorff spaces

Equivalence of metric

Topology of local uniform convergence

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