Question

Is this sequence of functions equicontinuous?

score 45 · Answer 1 · 2026-05-14 16:02:01

45

Views

Is this sequence of functions equicontinuous?

Published on 14 May 2026 - 16:02

score 612 · Answer 2 · 2026-05-14 16:01:40

612

Views

Nowhere continuous function for every equivalence class

Published on 14 May 2026 - 16:01

score 99 · Answer 3 · 2026-05-14 16:02:25

99

Views

Show that for any $E\subseteq X$ we have $f(\overline{E})$ $\subseteq$ $\overline{f(E)}$.

Published on 14 May 2026 - 16:02

score 1.1k · Answer 4 · 2026-05-14 17:09:04

1.1k

Views

Continuous function between a topological and a metric space

Published on 14 May 2026 - 17:09

score 77 · Answer 5 · 2026-04-12 02:57:27

77

Views

Basic Topological problem on closed sets

Published on 12 Apr 2026 - 2:57

score 186 · Answer 6 · 2026-05-10 22:12:36

186

Views

For a discrete topological space $X$, is Perm$(X)$ a topological group as a subspace of product topological space $X^X$?

Published on 10 May 2026 - 22:12

score 343 · Answer 7 · 2026-05-10 19:00:41

343

Views

Compact,connected set

Published on 10 May 2026 - 19:00

score 369 · Answer 8 · 2026-05-10 14:30:40

369

Views

Constant sheaf takes disconnected set to product

Published on 10 May 2026 - 14:30

score 658 · Answer 9 · 2026-05-14 19:08:04

658

Views

Show that there is a real number $ξ ∈ [1, 2]$ with $f(ξ) = f(ξ − 1).$

Published on 14 May 2026 - 19:08

score 64 · Answer 10 · 2026-05-11 05:46:30

64

Views

Continuity of $T \mapsto \pi_{\operatorname{ker}T}$ w.r.t. the SOT

Published on 11 May 2026 - 5:46

score 640 · Answer 11 · 2026-04-13 15:11:31

640

Views

Function has a gradient despite discontinuity. But does it have a hessian?

Published on 13 Apr 2026 - 15:11

score 48 · Answer 12 · 2026-05-14 21:29:40

48

Views

Under what circumstances is this function continuous?

Published on 14 May 2026 - 21:29

score 352 · Answer 13 · 2026-05-14 22:54:36

352

Views

Proof of equivalence between open-set and $\varepsilon$-$\delta$ definition of continuity.

Published on 14 May 2026 - 22:54

score 47 · Answer 14 · 2026-05-11 03:17:14

47

Views

For any continuous function $f:S^1\to\mathbb{C}$ prove that $\|\sum\hat{f}(n)r^{|n|}e_n-f\|_{\infty}\to 0$ as $r\to 1$.

Published on 11 May 2026 - 3:17

score 508 · Answer 15 · 2026-05-10 20:14:26

508

Views

Prove this function is differentiable at a point but the partial derivatives are not continuous

Published on 10 May 2026 - 20:14

List Question

Is this sequence of functions equicontinuous?

Nowhere continuous function for every equivalence class

Show that for any $E\subseteq X$ we have $f(\overline{E})$ $\subseteq$ $\overline{f(E)}$.

Continuous function between a topological and a metric space

Basic Topological problem on closed sets

For a discrete topological space $X$, is Perm$(X)$ a topological group as a subspace of product topological space $X^X$?

Compact,connected set

Constant sheaf takes disconnected set to product

Show that there is a real number $ξ ∈ [1, 2]$ with $f(ξ) = f(ξ − 1).$

Continuity of $T \mapsto \pi_{\operatorname{ker}T}$ w.r.t. the SOT

Function has a gradient despite discontinuity. But does it have a hessian?

Under what circumstances is this function continuous?

Proof of equivalence between open-set and $\varepsilon$-$\delta$ definition of continuity.

For any continuous function $f:S^1\to\mathbb{C}$ prove that $\|\sum\hat{f}(n)r^{|n|}e_n-f\|_{\infty}\to 0$ as $r\to 1$.

Prove this function is differentiable at a point but the partial derivatives are not continuous

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