Question

Is every uniformity for a metrizable topology metrizable?

score 91 · Answer 1 · 2018-12-21 16:47:54

91

Views

Is every uniformity for a metrizable topology metrizable?

Published on 21 Dec 2018 - 16:47

score 126 · Answer 2 · 2018-12-22 07:42:11

126

Views

Is every uniformizable topology induced by a Heine-Borel uniformity?

Published on 22 Dec 2018 - 7:42

score 154 · Answer 3 · 2018-12-22 21:38:26

154

Views

Do boundedness in a metric and boundedness in a uniformity not coincide?

Published on 22 Dec 2018 - 21:38

score 340 · Answer 4 · 2018-12-23 02:25:10

340

Views

Do the metrics $d$ and $\frac{d}{1+d}$ induce the same uniformity?

Published on 23 Dec 2018 - 2:25

score 519 · Answer 5 · 2018-12-23 04:42:23

519

Views

What is the structure preserved by strong equivalence of metrics?

Published on 23 Dec 2018 - 4:42

score 335 · Answer 6 · 2018-12-23 14:56:30

335

Views

Are uniformly equivalent metrics with the same bounded sets strongly equivalent?

Published on 23 Dec 2018 - 14:56

score 27 · Answer 7 · 2018-12-24 08:28:21

For closed set $S$ in uniform space $(X, \mathcal{U})$, with $S\subseteq W$, is there $U\in \mathcal{U}$ such that $S\subseteq U[S]\subseteq W$?

score 228 · Answer 8 · 2018-12-25 02:13:48

228

Views

Is a set bounded in every metric for a uniformity bounded in the uniformity?

Published on 25 Dec 2018 - 2:13

score 126 · Answer 9 · 2019-01-01 19:15:03

126

Views

Are uniformly equivalent metrics with the same bounded sets Holder equivalent?

Published on 01 Jan 2019 - 19:15

score 139 · Answer 10 · 2019-01-03 16:03:06

139

Views

In discrete topology, every neighborhood of $\Delta_X$ is an entourage?

Published on 03 Jan 2019 - 16:03

score 79 · Answer 11 · 2019-01-06 11:33:33

79

Views

For every closed neighborhood $\Delta_X\subset D$ , Is there an entourage $U$ with $U\subseteq D$?

Published on 06 Jan 2019 - 11:33

score 141 · Answer 12 · 2019-01-07 11:47:21

141

Views

Limit point compact uniform space

Published on 07 Jan 2019 - 11:47

score 175 · Answer 13 · 2019-01-10 07:32:46

175

Views

Induced neighbourhoods in uniform space

Published on 10 Jan 2019 - 7:32

score 18 · Answer 14 · 2019-01-21 15:35:27

18

Views

Is $\mathcal B_Y=\{B\cap(Y\times Y):B\in\mathcal B\}$ forms a base for $\mathcal U_Y?$

Published on 21 Jan 2019 - 15:35

score 48 · Answer 15 · 2019-01-24 00:12:28

48

Views

Which of the conditions imply that a function is uniformly continuous relative to an uniformity?

Published on 24 Jan 2019 - 0:12

List Question

Is every uniformity for a metrizable topology metrizable?

Is every uniformizable topology induced by a Heine-Borel uniformity?

Do boundedness in a metric and boundedness in a uniformity not coincide?

Do the metrics $d$ and $\frac{d}{1+d}$ induce the same uniformity?

What is the structure preserved by strong equivalence of metrics?

Are uniformly equivalent metrics with the same bounded sets strongly equivalent?

For closed set $S$ in uniform space $(X, \mathcal{U})$, with $S\subseteq W$, is there $U\in \mathcal{U}$ such that $S\subseteq U[S]\subseteq W$?

Is a set bounded in every metric for a uniformity bounded in the uniformity?

Are uniformly equivalent metrics with the same bounded sets Holder equivalent?

In discrete topology, every neighborhood of $\Delta_X$ is an entourage?

For every closed neighborhood $\Delta_X\subset D$ , Is there an entourage $U$ with $U\subseteq D$?

Limit point compact uniform space

Induced neighbourhoods in uniform space

Is $\mathcal B_Y=\{B\cap(Y\times Y):B\in\mathcal B\}$ forms a base for $\mathcal U_Y?$

Which of the conditions imply that a function is uniformly continuous relative to an uniformity?

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