List questions from uniform-spaces

Published on 13 Jul 2017 - 23:34

125

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a compact uniform space which is not metrizable

Published on 17 Jul 2017 - 7:21

65

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countable set of open sets in a compact uniform space

Published on 17 Jul 2017 - 20:10

108

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Uniform Spaces - Uniformly continuous

Published on 05 Aug 2017 - 13:34

355

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Neighbourhood filter of a uniform space

Published on 13 Aug 2017 - 7:04

30

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Let $(X,\mathscr U)$ be a uniform space. Then why does $\mathcal N_x=\{U[x]\ |\ U\in\mathscr U\}$ form a neighborhood base for $x\in X$?

Published on 14 Aug 2017 - 19:56

40

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Are all topologies that are generated by uniform spaces $T_1$?

Published on 01 Sep 2017 - 13:07

63

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How to show there exists a set where $E\circ E\circ E\subseteq D$

Published on 02 Sep 2017 - 16:24

141

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Different Uniformities generating Same Topology

Published on 29 Sep 2017 - 4:51

298

Views

Convergent net which is not Cauchy

Published on 30 Sep 2017 - 15:57

61

Views

Invertibility of Cellular Automata over $A^G$ for locally finite G.

Published on 23 Feb 2026 - 10:20

65

Views

A property of neighborhoods of the diagonal $\Delta\subset Y\times Y$ obtained from a paracompact space $Y$

Published on 23 Feb 2026 - 4:43

106

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$\iff$ Condition for metrizable uniformity

Published on 30 Nov 2017 - 14:58

66

Views

Non-complete uniform space

Published on 12 Jan 2018 - 10:14

234

Views

On the Compact Uniformization Theorem

Published on 10 Dec 2010 - 14:32

List Question

Is the discrete uniformity the only complete uniformity on the discrete topology?

a compact uniform space which is not metrizable

countable set of open sets in a compact uniform space

Uniform Spaces - Uniformly continuous

Neighbourhood filter of a uniform space

Let $(X,\mathscr U)$ be a uniform space. Then why does $\mathcal N_x=\{U[x]\ |\ U\in\mathscr U\}$ form a neighborhood base for $x\in X$?

Are all topologies that are generated by uniform spaces $T_1$?

How to show there exists a set where $E\circ E\circ E\subseteq D$

Different Uniformities generating Same Topology

Convergent net which is not Cauchy

Invertibility of Cellular Automata over $A^G$ for locally finite G.

A property of neighborhoods of the diagonal $\Delta\subset Y\times Y$ obtained from a paracompact space $Y$

$\iff$ Condition for metrizable uniformity

Non-complete uniform space

On the Compact Uniformization Theorem

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