Question

Let $(X, \mathcal{U})$ be a uniform space and $C\in\mathcal{U}$ be given. Is there a compact set $D\in\mathcal{U}$ such that $D\subseteq C$?

score 40 · Answer 1 · 2018-06-26 08:08:58

Let $(X, \mathcal{U})$ be a uniform space and $C\in\mathcal{U}$ be given. Is there a compact set $D\in\mathcal{U}$ such that $D\subseteq C$?

score 322 · Answer 2 · 2018-07-18 08:06:45

322

Views

How to prove the product of totally bounded uniform spaces is totally bounded?

Published on 18 Jul 2018 - 8:06

score 87 · Answer 3 · 2018-07-30 16:06:20

87

Views

quasi-uniformisation of bitopological spaces

Published on 30 Jul 2018 - 16:06

score 412 · Answer 4 · 2018-08-15 18:14:55

412

Views

Examples of Uniform Spaces

Published on 15 Aug 2018 - 18:14

score 162 · Answer 5 · 2018-09-23 14:49:42

162

Views

Definition of uniform subspace

Published on 23 Sep 2018 - 14:49

score 181 · Answer 6 · 2018-10-12 12:42:04

181

Views

What is an example of a compact non-uniformizable space?

Published on 12 Oct 2018 - 12:42

score 238 · Answer 7 · 2018-10-13 05:02:09

238

Views

When is a topological space uniquely uniformizable?

Published on 13 Oct 2018 - 5:02

score 218 · Answer 8 · 2018-11-02 04:06:06

218

Views

Are the three notions of compactness equivalent for uniform spaces?

Published on 02 Nov 2018 - 4:06

score 30 · Answer 9 · 2018-11-21 04:37:11

30

Views

Question on $T_1$-topological spaces with compatible uniformities having countable bases

Published on 21 Nov 2018 - 4:37

score 37 · Answer 10 · 2018-12-08 12:30:57

37

Views

Is there a $D$- chain between two point of a connected component in an uniform space?

Published on 08 Dec 2018 - 12:30

score 426 · Answer 11 · 2018-12-13 20:43:07

426

Views

Is it true that every perfect set of a compact Hausdorff space is uncountable?

Published on 13 Dec 2018 - 20:43

score 35 · Answer 12 · 2018-12-19 07:04:07

35

Views

Clarifying the definition of Boundedness in Uniform Spaces

Published on 19 Dec 2018 - 7:04

score 164 · Answer 13 · 2018-12-19 15:54:20

164

Views

Is the notion of Cauchy sequences definable in a bornological topological space?

Published on 19 Dec 2018 - 15:54

score 136 · Answer 14 · 2018-12-20 01:59:22

136

Views

When is a bornology on a uniformizable space induced by a uniformity?

Published on 20 Dec 2018 - 1:59

score 195 · Answer 15 · 2018-12-21 06:21:22

195

Views

What topological spaces satisfy yet another property involving relatively compact sets?

Published on 21 Dec 2018 - 6:21

List Question

Let $(X, \mathcal{U})$ be a uniform space and $C\in\mathcal{U}$ be given. Is there a compact set $D\in\mathcal{U}$ such that $D\subseteq C$?

How to prove the product of totally bounded uniform spaces is totally bounded?

quasi-uniformisation of bitopological spaces

Examples of Uniform Spaces

Definition of uniform subspace

What is an example of a compact non-uniformizable space?

When is a topological space uniquely uniformizable?

Are the three notions of compactness equivalent for uniform spaces?

Question on $T_1$-topological spaces with compatible uniformities having countable bases

Is there a $D$- chain between two point of a connected component in an uniform space?

Is it true that every perfect set of a compact Hausdorff space is uncountable?

Clarifying the definition of Boundedness in Uniform Spaces

Is the notion of Cauchy sequences definable in a bornological topological space?

When is a bornology on a uniformizable space induced by a uniformity?

What topological spaces satisfy yet another property involving relatively compact sets?

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