Question

Alternative characterisation of weakly complete Banach spaces

score 110 · Answer 1 · 2026-02-24 03:28:51

110

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Alternative characterisation of weakly complete Banach spaces

Published on 24 Feb 2026 - 3:28

score 31 · Answer 2 · 2026-04-12 00:35:18

31

Views

Does normal space guarantees existence of normal cover

Published on 12 Apr 2026 - 0:35

score 140 · Answer 3 · 2026-04-12 08:32:12

140

Views

A property of compact metric spaces

Published on 12 Apr 2026 - 8:32

score 24 · Answer 4 · 2026-04-12 02:08:20

24

Views

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 12 Apr 2026 - 2:08

score 46 · Answer 5 · 2026-04-08 22:13:06

46

Views

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

Published on 08 Apr 2026 - 22:13

score 63 · Answer 6 · 2026-02-24 03:28:24

63

Views

Uniform Structure on the Space of Subsets (Hyperspaces)

Published on 24 Feb 2026 - 3:28

score 54 · Answer 7 · 2026-02-24 03:33:34

54

Views

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

Published on 24 Feb 2026 - 3:33

score 164 · Answer 8 · 2026-04-10 12:47:22

164

Views

Hausdorff space which is not Urysohn space.

Published on 10 Apr 2026 - 12:47

score 57 · Answer 9 · 2026-04-11 17:19:26

57

Views

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 11 Apr 2026 - 17:19

score 34 · Answer 10 · 2026-02-24 03:28:51

34

Views

Existence of smallest preuniformity containing a given cover.

Published on 24 Feb 2026 - 3:28

score 68 · Answer 11 · 2026-04-12 07:30:21

68

Views

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

Published on 12 Apr 2026 - 7:30

score 15 · Answer 12 · 2026-02-24 03:28:35

15

Views

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

Published on 24 Feb 2026 - 3:28

score 54 · Answer 13 · 2026-04-10 21:04:16

54

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Different definitions of quotient maps for uniform spaces

Published on 10 Apr 2026 - 21:04

score 45 · Answer 14 · 2026-04-11 18:42:25

45

Views

Different definitions of quotient maps for uniform spaces 2

Published on 11 Apr 2026 - 18:42

score 148 · Answer 15 · 2026-04-11 17:12:03

148

Views

Motivation and references for 'the topology of uniform convergence'

Published on 11 Apr 2026 - 17:12

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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