Question

Unable to prove that this map is a closed map.

score 67 · Answer 1 · 2021-05-19 13:49:43

67

Views

Unable to prove that this map is a closed map.

Published on 19 May 2021 - 13:49

score 41 · Answer 2 · 2021-06-03 13:26:55

41

Views

Behaviour of ${f}^{-1}$ under continuous map

Published on 03 Jun 2021 - 13:26

score 80 · Answer 3 · 2021-06-04 11:49:59

80

Views

Given a product topology X = $\prod_{i \in I}X_i$ , check: if E is closed in X, then $\pi_i(E)$ is closed in $X_i$

Published on 04 Jun 2021 - 11:49

score 51 · Answer 4 · 2021-08-02 06:28:50

51

Views

p closed continuous function $p(\bar A) =\overline {p(A)}$

Published on 02 Aug 2021 - 6:28

score 19 · Answer 5 · 2021-09-13 06:14:09

19

Views

Solution Verification: Disproving a claim about the interior of the image of the closure of a closed mapping

Published on 13 Sep 2021 - 6:14

score 392 · Answer 6 · 2021-09-21 14:45:02

392

Views

Two definitions of a closed map

Published on 21 Sep 2021 - 14:45

score 1.3k · Answer 7 · 2021-10-04 17:35:33

1.3k

Views

Suppose $X$ is compact and $Y$ is Hausdorff show that $f$ is a closed map

Published on 04 Oct 2021 - 17:35

score 121 · Answer 8 · 2021-11-11 12:08:38

121

Views

Properness of a projection map is a local question, in a certain sense

Published on 11 Nov 2021 - 12:08

score 157 · Answer 9 · 2026-02-23 07:02:18

157

Views

Pre-image of closed, surjective, continuous map with compact fibres is Lindelöf if its image is

Published on 23 Feb 2026 - 7:02

score 46 · Answer 10 · 2021-12-08 13:47:31

46

Views

$f:[0,2\pi]\rightarrow$ {$(x,y):x^2+y^2=1$} by $f(\theta)=(\cos\theta,\sin\theta)$ is a closed map

Published on 08 Dec 2021 - 13:47

score 218 · Answer 11 · 2021-12-11 19:54:04

218

Views

How does one conclude that a function maps closed sets to closed sets?

Published on 11 Dec 2021 - 19:54

score 1.1k · Answer 12 · 2021-12-20 08:33:14

1.1k

Views

A continuous function such that the inverse image of a bounded set is bounded

Published on 20 Dec 2021 - 8:33

score 57 · Answer 13 · 2022-01-07 09:59:33

57

Views

An example of a non closed linear map.

Published on 07 Jan 2022 - 9:59

score 44 · Answer 14 · 2022-01-10 19:13:48

44

Views

Why is injectiveness needed to show that a bounded linear operator is a closed map?

Published on 10 Jan 2022 - 19:13

score 77 · Answer 15 · 2022-01-19 06:49:32

77

Views

Confusions about proof regarding proper maps

Published on 19 Jan 2022 - 6:49

List Question

Unable to prove that this map is a closed map.

Behaviour of ${f}^{-1}$ under continuous map

Given a product topology X = $\prod_{i \in I}X_i$ , check: if E is closed in X, then $\pi_i(E)$ is closed in $X_i$

p closed continuous function $p(\bar A) =\overline {p(A)}$

Solution Verification: Disproving a claim about the interior of the image of the closure of a closed mapping

Two definitions of a closed map

Suppose $X$ is compact and $Y$ is Hausdorff show that $f$ is a closed map

Properness of a projection map is a local question, in a certain sense

Pre-image of closed, surjective, continuous map with compact fibres is Lindelöf if its image is

$f:[0,2\pi]\rightarrow$ {$(x,y):x^2+y^2=1$} by $f(\theta)=(\cos\theta,\sin\theta)$ is a closed map

How does one conclude that a function maps closed sets to closed sets?

A continuous function such that the inverse image of a bounded set is bounded

An example of a non closed linear map.

Why is injectiveness needed to show that a bounded linear operator is a closed map?

Confusions about proof regarding proper maps

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