List questions from open-map

Published on 03 Dec 2017 - 16:56

101

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Openness of a map of $G$-spaces

Published on 14 Dec 2017 - 0:04

99

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If $f :{\Bbb R}^2 \to {\Bbb R}^2$ is a function satisfying $\| f(x) - f(y) \| \geq 3\|x-y\|$ , then $f$ is an open mapping and generalizing it

Published on 29 Dec 2017 - 14:30

200

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Equivalent condition for continuity : $f(A^o)\subset f(A)^o$

Published on 30 Dec 2017 - 8:40

135

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Opens maps from topological manifolds whose fibers are not generically topological foliations

Published on 25 Mar 2026 - 11:33

211

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Showing that the map $f(x)=x/norm(x)$ is an open map

Published on 09 Jan 2018 - 14:23

28.1k

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When is a quotient map open?

Published on 01 Sep 2011 - 13:32

565

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Extending open maps to Stone-Čech compactifications

Published on 21 Sep 2011 - 14:04

16.6k

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Open maps which are not continuous

Published on 25 Oct 2011 - 0:38

39.9k

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Projection is an open map

Published on 29 Nov 2012 - 20:25

2.7k

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Open mappings and continuous functions? Are these interrelated?

Published on 04 Feb 2013 - 19:47

693

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How to prove that the induced topology is the coarsest and identification topology is the finest topology that keeps the map continuous?

Published on 02 Aug 2020 - 7:54

384

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Quotient map $q:X \to X/A$ is open if $A$ is open (?)

Published on 09 Aug 2020 - 11:16

56

Views

Proof that subset is open in $\Bbb R^2$ with coefficients in $\Bbb R^3$

Published on 10 Aug 2020 - 9:12

144

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Verifying Topological Embeddings

Published on 26 Mar 2026 - 1:09

List Question

Proving the image of a surjective function is Hausdorff

Openness of a map of $G$-spaces

If $f :{\Bbb R}^2 \to {\Bbb R}^2$ is a function satisfying $\| f(x) - f(y) \| \geq 3\|x-y\|$ , then $f$ is an open mapping and generalizing it

Equivalent condition for continuity : $f(A^o)\subset f(A)^o$

Opens maps from topological manifolds whose fibers are not generically topological foliations

Showing that the map $f(x)=x/norm(x)$ is an open map

When is a quotient map open?

Extending open maps to Stone-Čech compactifications

Open maps which are not continuous

Projection is an open map

Open mappings and continuous functions? Are these interrelated?

How to prove that the induced topology is the coarsest and identification topology is the finest topology that keeps the map continuous?

Quotient map $q:X \to X/A$ is open if $A$ is open (?)

Proof that subset is open in $\Bbb R^2$ with coefficients in $\Bbb R^3$

Verifying Topological Embeddings

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