Question

Infinite-dimensional normed space meaning

score 71 · Answer 1 · 2026-03-27 17:51:33

71

Views

Infinite-dimensional normed space meaning

Published on 27 Mar 2026 - 17:51

score 231 · Answer 2 · 2026-03-27 20:21:04

231

Views

Let $K$ be a compact subset of $X$ and $E ⊂ K$. Suppose that $E$ is closed relative to $K$. Prove or disprove that $E$ is closed relative to $X$.

Published on 27 Mar 2026 - 20:21

score 389 · Answer 3 · 2026-03-25 12:17:23

389

Views

Convergence in Skorokhod topology implies convergence in $L^1$.

Published on 25 Mar 2026 - 12:17

score 33 · Answer 4 · 2026-03-25 16:45:25

33

Views

homeomorphism between a projective space and a line bundle

Published on 25 Mar 2026 - 16:45

score 605 · Answer 5 · 2026-04-01 10:48:05

605

Views

A subspace of $\mathbb R^n$ is compact iff it is closed and bounded in the $l_1$ metric.

Published on 01 Apr 2026 - 10:48

score 60 · Answer 6 · 2026-03-22 14:55:32

60

Views

Construct retraction of $conv(X)$ onto $X=[0,1]\times\{0\}\cup\bigcup_{n\in\mathbb{N}}\{1/n\}\times[-1/n,1/n]$

Published on 22 Mar 2026 - 14:55

score 53 · Answer 7 · 2026-03-31 20:05:49

53

Views

Is $C^3$ homemorphic to $R^6$?

Published on 31 Mar 2026 - 20:05

score 315 · Answer 8 · 2026-03-29 17:00:18

315

Views

Suppose that $q: X\to Z$ and that $p: X\to Y$ are covering spaces. Suppose there is a continuous function $r: Y\to Z$ such that $r\circ p=q$.

Published on 29 Mar 2026 - 17:00

score 618 · Answer 9 · 2018-04-08 19:17:05

618

Views

Topology on space of eventually-zero sequences

Published on 08 Apr 2018 - 19:17

score 118 · Answer 10 · 2026-03-25 22:10:37

118

Views

Why is Baire Category Important in the Open Mapping Theorem

Published on 25 Mar 2026 - 22:10

score 269 · Answer 11 · 2018-04-09 01:31:05

269

Views

Does every circle in $\mathbb{R^2}$ contain a point with rational coordinates?

Published on 09 Apr 2018 - 1:31

score 142 · Answer 12 · 2018-04-09 02:17:06

142

Views

Set Inclusion Claim in Open Mapping Theorem

Published on 09 Apr 2018 - 2:17

score 885 · Answer 13 · 2026-03-25 19:43:01

885

Views

Union of two compact totally disconnected sets in $\mathbb{R}$ is totally disconnected

Published on 25 Mar 2026 - 19:43

score 108 · Answer 14 · 2018-04-09 06:01:18

108

Views

Taking the maximum/supremum under the inverse image of a proper map

Published on 09 Apr 2018 - 6:01

score 298 · Answer 15 · 2026-03-25 16:00:17

298

Views

Is a Frechet space separable, if its dual is?

Published on 25 Mar 2026 - 16:00

List Question

Infinite-dimensional normed space meaning

Let $K$ be a compact subset of $X$ and $E ⊂ K$. Suppose that $E$ is closed relative to $K$. Prove or disprove that $E$ is closed relative to $X$.

Convergence in Skorokhod topology implies convergence in $L^1$.

homeomorphism between a projective space and a line bundle

A subspace of $\mathbb R^n$ is compact iff it is closed and bounded in the $l_1$ metric.

Construct retraction of $conv(X)$ onto $X=[0,1]\times\{0\}\cup\bigcup_{n\in\mathbb{N}}\{1/n\}\times[-1/n,1/n]$

Is $C^3$ homemorphic to $R^6$?

Suppose that $q: X\to Z$ and that $p: X\to Y$ are covering spaces. Suppose there is a continuous function $r: Y\to Z$ such that $r\circ p=q$.

Topology on space of eventually-zero sequences

Why is Baire Category Important in the Open Mapping Theorem

Does every circle in $\mathbb{R^2}$ contain a point with rational coordinates?

Set Inclusion Claim in Open Mapping Theorem

Union of two compact totally disconnected sets in $\mathbb{R}$ is totally disconnected

Taking the maximum/supremum under the inverse image of a proper map

Is a Frechet space separable, if its dual is?

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