Question

Is this sequence of functions equicontinuous?

score 42 · Answer 1 · 2018-03-01 21:40:32

42

Views

Is this sequence of functions equicontinuous?

Published on 01 Mar 2018 - 21:40

score 606 · Answer 2 · 2018-03-01 22:45:33

606

Views

Nowhere continuous function for every equivalence class

Published on 01 Mar 2018 - 22:45

score 95 · Answer 3 · 2018-03-01 22:50:11

95

Views

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

Published on 01 Mar 2018 - 22:50

score 1.1k · Answer 4 · 2026-03-30 03:35:32

1.1k

Views

Continuous function between a topological and a metric space

Published on 30 Mar 2026 - 3:35

score 74 · Answer 5 · 2018-03-02 14:34:47

74

Views

Basic Topological problem on closed sets

Published on 02 Mar 2018 - 14:34

score 175 · Answer 6 · 2026-03-22 18:27:03

175

Views

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

Published on 22 Mar 2026 - 18:27

score 339 · Answer 7 · 2026-03-26 19:50:44

339

Views

Compact,connected set

Published on 26 Mar 2026 - 19:50

score 366 · Answer 8 · 2026-03-25 06:01:16

366

Views

Constant sheaf takes disconnected set to product

Published on 25 Mar 2026 - 6:01

score 654 · Answer 9 · 2018-03-03 03:52:25

654

Views

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

Published on 03 Mar 2018 - 3:52

score 61 · Answer 10 · 2026-03-27 01:47:42

61

Views

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

Published on 27 Mar 2026 - 1:47

score 637 · Answer 11 · 2018-03-04 00:52:20

637

Views

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

Published on 04 Mar 2018 - 0:52

score 44 · Answer 12 · 2018-03-04 02:07:37

44

Views

Under what circumstances is this function continuous?

Published on 04 Mar 2018 - 2:07

score 350 · Answer 13 · 2026-03-28 08:10:01

350

Views

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

Published on 28 Mar 2026 - 8:10

score 44 · Answer 14 · 2026-03-25 11:16:24

44

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 25 Mar 2026 - 11:16

score 505 · Answer 15 · 2026-03-25 06:51:34

505

Views

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

Published on 25 Mar 2026 - 6:51

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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