List questions from open-map

Published on 25 Mar 2026 - 20:32

9.7k

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Example of quotient mapping that is not open

Published on 29 Jan 2014 - 10:59

1.4k

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Intuition for an open mapping

Published on 13 Feb 2014 - 11:28

816

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Attempted proof of an open mapping theorem for Lie groups

Published on 11 Apr 2017 - 5:49

183

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Uniformly open functions - where's the contradiction

Published on 13 Apr 2017 - 21:11

749

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Image of locally compact space under a continuous open map

Published on 16 Apr 2017 - 1:49

185

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Projection map for the product, uniform and box topologies

Published on 23 Feb 2026 - 1:04

50

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For a map $f(t_1,t_2)=\langle t_1^3,t_1^2t_2,t_1t_2^2,t_2^3\rangle$ prove that f is one-to-one

Published on 21 Apr 2017 - 21:20

705

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Why is the stereographic projection a map from $S^2\to\mathbb{R}^2$?

Published on 25 Mar 2026 - 12:52

1.7k

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Show that a continuous, onto function from a Compact Space is an open map.

Published on 10 May 2017 - 18:37

309

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Explanation of conditions when this map is open

Published on 17 May 2017 - 0:06

2.1k

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Trouble with Proving the One-Point Compactification of $(0,1)$

Published on 22 May 2017 - 3:47

75

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Show that $-y + \delta B_X \subseteq \overline{T(B_X)}.$

Published on 08 Jun 2017 - 13:03

5.8k

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$f$ is a homeomorphism iff $f$ is bijective, continuous and open

Published on 19 Jun 2017 - 14:41

159

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Open subsets are closed under homeomorphism

Published on 27 Jun 2017 - 17:09

List Question

Open surjective continuous functions being closed.

Example of quotient mapping that is not open

Intuition for an open mapping

Attempted proof of an open mapping theorem for Lie groups

Uniformly open functions - where's the contradiction

Image of locally compact space under a continuous open map

Projection map for the product, uniform and box topologies

For a map $f(t_1,t_2)=\langle t_1^3,t_1^2t_2,t_1t_2^2,t_2^3\rangle$ prove that f is one-to-one

Why is the stereographic projection a map from $S^2\to\mathbb{R}^2$?

Show that a continuous, onto function from a Compact Space is an open map.

Explanation of conditions when this map is open

Trouble with Proving the One-Point Compactification of $(0,1)$

Show that $-y + \delta B_X \subseteq \overline{T(B_X)}.$

$f$ is a homeomorphism iff $f$ is bijective, continuous and open

Open subsets are closed under homeomorphism

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