List questions from closed-map

Published on 10 Apr 2020 - 20:07

143

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Proving a map is open

Published on 13 May 2020 - 16:32

75

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How to prove that $X \cap Y$ is closed?

Published on 24 Feb 2026 - 16:08

883

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Closed Map with Compact Fibers is Proper [Follow Up Question]

Published on 20 Jun 2020 - 2:34

124

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Show the set of solutions to the equation $a_1x_1^m + a_2x_2^m + \dotsb + a_nx_n^m = b$ is compact.

Published on 07 Jul 2016 - 14:27

191

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The function $f: X \rightarrow Y$ is closed iff $\overline{f(A)} \subseteq f(\bar{A})$

Published on 11 Sep 2016 - 22:01

37

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closedness of subtracted sets

Published on 03 Nov 2016 - 21:24

581

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Closure and closed map

Published on 30 Nov 2016 - 17:08

2.3k

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Open and Closed mapping Examples

Published on 10 Dec 2016 - 18:15

73

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Set closed. Hahn Banach theorem. Banach limits

Published on 19 Jan 2017 - 4:25

822

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The image of a second-countable space by a closed continuous mapping with compact fibers is second-countable

Published on 25 Jan 2017 - 13:32

201

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$X$ is compactly generated iff every proper map from $Y$ to $X$ is closed

Published on 11 Mar 2017 - 11:02

907

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Example of a linear operator whose graph is not closed but it takes a closed set to a closed set

Published on 27 Mar 2017 - 9:47

286

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Mapping a hemisphere onto the unit circle

Published on 23 Mar 2023 - 23:39

56

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Inverse image of a point under a continuous surjective closed map :

Published on 31 Mar 2023 - 7:13

List Question

Techniques to Prove a Map Open or Closed

Proving a map is open

How to prove that $X \cap Y$ is closed?

Closed Map with Compact Fibers is Proper [Follow Up Question]

Show the set of solutions to the equation $a_1x_1^m + a_2x_2^m + \dotsb + a_nx_n^m = b$ is compact.

The function $f: X \rightarrow Y$ is closed iff $\overline{f(A)} \subseteq f(\bar{A})$

closedness of subtracted sets

Closure and closed map

Open and Closed mapping Examples

Set closed. Hahn Banach theorem. Banach limits

The image of a second-countable space by a closed continuous mapping with compact fibers is second-countable

$X$ is compactly generated iff every proper map from $Y$ to $X$ is closed

Example of a linear operator whose graph is not closed but it takes a closed set to a closed set

Mapping a hemisphere onto the unit circle

Inverse image of a point under a continuous surjective closed map :

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