Question

Alternative characterisation of weakly complete Banach spaces

score 109 · Answer 1 · 2021-03-01 17:14:12

109

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Alternative characterisation of weakly complete Banach spaces

Published on 01 Mar 2021 - 17:14

score 29 · Answer 2 · 2026-02-23 06:19:40

29

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Does normal space guarantees existence of normal cover

Published on 23 Feb 2026 - 6:19

score 137 · Answer 3 · 2021-04-18 20:10:13

137

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A property of compact metric spaces

Published on 18 Apr 2021 - 20:10

score 21 · Answer 4 · 2021-04-30 21:34:10

21

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For entourage $U$ and continuous map $t:X\to X$, is there an entourage $V$ with $t^{-1}V[x]\subseteq U[x]$?

Published on 30 Apr 2021 - 21:34

score 43 · Answer 5 · 2021-05-09 02:59:45

43

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What is a good book for uniform spaces using pseudometrics definition?

Published on 09 May 2021 - 2:59

score 62 · Answer 6 · 2021-05-10 14:04:41

62

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Uniform Structure on the Space of Subsets (Hyperspaces)

Published on 10 May 2021 - 14:04

score 53 · Answer 7 · 2021-05-13 11:27:15

53

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Topology of uniform convergence of functions $X\to X$?

Published on 13 May 2021 - 11:27

score 161 · Answer 8 · 2021-05-14 10:35:39

161

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Hausdorff space which is not Urysohn space.

Published on 14 May 2021 - 10:35

score 56 · Answer 9 · 2026-02-23 21:39:01

56

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If the eigenfunctions of $T_{\phi}f:=f\circ\phi$ span $C(X)$, then $\overline{\{\phi^{n}:n\in\mathbb{Z}\}}^{\text{unif}}$ is compact

Published on 23 Feb 2026 - 21:39

score 33 · Answer 10 · 2021-07-16 23:50:34

33

Views

Existence of smallest preuniformity containing a given cover.

Published on 16 Jul 2021 - 23:50

score 66 · Answer 11 · 2021-07-17 12:01:07

66

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Non-trivial metric space $X$ with all of $C(X)$ uniformly continuous.

Published on 17 Jul 2021 - 12:01

score 14 · Answer 12 · 2021-07-17 22:32:01

14

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Proof that a certain space equipped with preuniformity is a uniform space.

Published on 17 Jul 2021 - 22:32

score 51 · Answer 13 · 2021-07-19 20:22:29

51

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Different definitions of quotient maps for uniform spaces

Published on 19 Jul 2021 - 20:22

score 42 · Answer 14 · 2021-07-20 16:27:21

42

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Different definitions of quotient maps for uniform spaces 2

Published on 20 Jul 2021 - 16:27

score 146 · Answer 15 · 2021-07-25 14:09:57

146

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Motivation and references for 'the topology of uniform convergence'

Published on 25 Jul 2021 - 14:09

List Question

Alternative characterisation of weakly complete Banach spaces

Does normal space guarantees existence of normal cover

A property of compact metric spaces

For entourage $U$ and continuous map $t:X\to X$, is there an entourage $V$ with $t^{-1}V[x]\subseteq U[x]$?

What is a good book for uniform spaces using pseudometrics definition?

Uniform Structure on the Space of Subsets (Hyperspaces)

Topology of uniform convergence of functions $X\to X$?

Hausdorff space which is not Urysohn space.

If the eigenfunctions of $T_{\phi}f:=f\circ\phi$ span $C(X)$, then $\overline{\{\phi^{n}:n\in\mathbb{Z}\}}^{\text{unif}}$ is compact

Existence of smallest preuniformity containing a given cover.

Non-trivial metric space $X$ with all of $C(X)$ uniformly continuous.

Proof that a certain space equipped with preuniformity is a uniform space.

Different definitions of quotient maps for uniform spaces

Different definitions of quotient maps for uniform spaces 2

Motivation and references for 'the topology of uniform convergence'

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