Question

A restriction of a closed map is a closed map?

score 790 · Answer 1 · 2026-03-25 07:49:24

790

Views

A restriction of a closed map is a closed map?

Published on 25 Mar 2026 - 7:49

score 224 · Answer 2 · 2020-04-08 13:57:33

224

Views

Fibre bundle which is not an open map

Published on 08 Apr 2020 - 13:57

score 817 · Answer 3 · 2026-03-25 09:31:26

817

Views

Techniques to Prove a Map Open or Closed

Published on 25 Mar 2026 - 9:31

score 54 · Answer 4 · 2020-04-12 20:45:54

54

Views

Ball in closed convex set (from proof of open mapping thm)

Published on 12 Apr 2020 - 20:45

score 806 · Answer 5 · 2020-04-17 06:41:04

806

Views

$f: R^2 \rightarrow R$ defined by f(x,y) = x+y is open map but not closed map

Published on 17 Apr 2020 - 6:41

score 826 · Answer 6 · 2020-04-18 20:48:14

826

Views

Every local homeomorphism is an open map (Goldblatt's Topoi)

Published on 18 Apr 2020 - 20:48

score 67 · Answer 7 · 2026-03-21 17:06:52

67

Views

$p: \mathbb{R} \to \mathbb{R}/A$ Prove $p$ is an open map $\iff$ $A$ is open.

Published on 21 Mar 2026 - 17:06

score 29 · Answer 8 · 2020-04-20 23:09:48

29

Views

Continuous $k : A \to B$ between two local homeomorphisms $f : A \to I, g : B \to I$ (i.e. such that $g \circ k = f$) is an open map.

Published on 20 Apr 2020 - 23:09

score 106 · Answer 9 · 2020-04-22 04:08:35

106

Views

Why is it sufficient to show that $f:X\rightarrow Y$ is open iff every image of an openset contains some nonempty openset

Published on 22 Apr 2020 - 4:08

score 447 · Answer 10 · 2026-03-25 17:40:22

447

Views

Let X be a Banach space and show the series converges.

Published on 25 Mar 2026 - 17:40

score 116 · Answer 11 · 2020-04-30 10:08:15

116

Views

Question in proof of open mapping theorem

Published on 30 Apr 2020 - 10:08

score 292 · Answer 12 · 2020-05-06 08:43:13

292

Views

Proving a function to be an open map

Published on 06 May 2020 - 8:43

score 93 · Answer 13 · 2020-05-06 12:06:14

93

Views

Showing $\mathbb{R} \setminus E = \{x \in \mathbb{R}: x \notin E\}$ is open.

Published on 06 May 2020 - 12:06

score 144 · Answer 14 · 2026-03-25 09:33:30

144

Views

Proving a map is open

Published on 25 Mar 2026 - 9:33

score 159 · Answer 15 · 2020-06-01 05:32:33

Show the map $g:\mathbb{S}^1\to\mathbb{S}^1$ defined by $g(\cos(\theta), \sin(\theta)) = (\cos(a\theta), \sin(a\theta))$ is open where $a\in\Bbb N$.

List Question

A restriction of a closed map is a closed map?

Fibre bundle which is not an open map

Techniques to Prove a Map Open or Closed

Ball in closed convex set (from proof of open mapping thm)

$f: R^2 \rightarrow R$ defined by f(x,y) = x+y is open map but not closed map

Every local homeomorphism is an open map (Goldblatt's Topoi)

$p: \mathbb{R} \to \mathbb{R}/A$ Prove $p$ is an open map $\iff$ $A$ is open.

Continuous $k : A \to B$ between two local homeomorphisms $f : A \to I, g : B \to I$ (i.e. such that $g \circ k = f$) is an open map.

Why is it sufficient to show that $f:X\rightarrow Y$ is open iff every image of an openset contains some nonempty openset

Let X be a Banach space and show the series converges.

Question in proof of open mapping theorem

Proving a function to be an open map

Showing $\mathbb{R} \setminus E = \{x \in \mathbb{R}: x \notin E\}$ is open.

Proving a map is open

Show the map $g:\mathbb{S}^1\to\mathbb{S}^1$ defined by $g(\cos(\theta), \sin(\theta)) = (\cos(a\theta), \sin(a\theta))$ is open where $a\in\Bbb N$.

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