Question

When is the compact-open topology locally compact?

score 623 · Answer 1 · 2026-02-23 23:21:58

623

Views

When is the compact-open topology locally compact?

Published on 23 Feb 2026 - 23:21

score 87 · Answer 2 · 2022-03-06 04:44:30

87

Views

Is this proof that arguing equicontinuousness in a compact set is uniformly continuous valid?

Published on 06 Mar 2022 - 4:44

score 124 · Answer 3 · 2022-03-07 20:54:50

124

Views

Prove that the sequence of functions $f_n$ is equicontinuos, but with not uniformly convergent subsequence in $(0,1)$.

Published on 07 Mar 2022 - 20:54

score 53 · Answer 4 · 2022-03-11 23:14:48

53

Views

$K$ be compact metric space, $g$ and $h$ are continuous, prove the family of $f_u(x) = h(g(x)+g(u))$ is equicontinuous.

Published on 11 Mar 2022 - 23:14

score 51 · Answer 5 · 2026-02-23 23:23:21

51

Views

When is the compact-open topology on homomorphisms locally compact?

Published on 23 Feb 2026 - 23:23

score 44 · Answer 6 · 2022-03-27 03:54:48

44

Views

Proof of uniform convergence of converged equicontinuous sequence

Published on 27 Mar 2022 - 3:54

score 200 · Answer 7 · 2022-03-31 14:59:27

200

Views

Check a family of functions is equicontinuous

Published on 31 Mar 2022 - 14:59

score 81 · Answer 8 · 2022-04-18 04:35:55

81

Views

let $\phi \subset C[0,1]$ be the set $\phi =\{f\in C^1[0,1]: \int^1_0 |f'(x)|^3dx\le 7\}$ prove that $\phi$ is equicontinous

Published on 18 Apr 2022 - 4:35

score 50 · Answer 9 · 2022-04-26 14:39:02

50

Views

Tightness vs Equi-integrability, Prokorov

Published on 26 Apr 2022 - 14:39

score 172 · Answer 10 · 2022-05-26 08:36:52

172

Views

Two equivalent versions of Arzelà–Ascoli theorem

Published on 26 May 2022 - 8:36

score 54 · Answer 11 · 2022-06-04 08:06:40

54

Views

Arzela-Ascoli-like theorem with additional converging term

Published on 04 Jun 2022 - 8:06

score 70 · Answer 12 · 2022-06-27 04:41:19

70

Views

Union of two equicontinuous families of functions is equicontinuous

Published on 27 Jun 2022 - 4:41

score 106 · Answer 13 · 2022-08-09 21:12:54

106

Views

An equicontinuous sequence of functions converging in $L^1$ converges pointwise a.e.

Published on 09 Aug 2022 - 21:12

score 203 · Answer 14 · 2022-08-13 16:10:16

203

Views

Determine which sequences are equicontinuous.

Published on 13 Aug 2022 - 16:10

score 54 · Answer 15 · 2022-08-15 09:40:17

54

Views

Show that the sequence of functions converges uniformly.

Published on 15 Aug 2022 - 9:40

List Question

When is the compact-open topology locally compact?

Is this proof that arguing equicontinuousness in a compact set is uniformly continuous valid?

Prove that the sequence of functions $f_n$ is equicontinuos, but with not uniformly convergent subsequence in $(0,1)$.

$K$ be compact metric space, $g$ and $h$ are continuous, prove the family of $f_u(x) = h(g(x)+g(u))$ is equicontinuous.

When is the compact-open topology on homomorphisms locally compact?

Proof of uniform convergence of converged equicontinuous sequence

Check a family of functions is equicontinuous

let $\phi \subset C[0,1]$ be the set $\phi =\{f\in C^1[0,1]: \int^1_0 |f'(x)|^3dx\le 7\}$ prove that $\phi$ is equicontinous

Tightness vs Equi-integrability, Prokorov

Two equivalent versions of Arzelà–Ascoli theorem

Arzela-Ascoli-like theorem with additional converging term

Union of two equicontinuous families of functions is equicontinuous

An equicontinuous sequence of functions converging in $L^1$ converges pointwise a.e.

Determine which sequences are equicontinuous.

Show that the sequence of functions converges uniformly.

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