List questions from open-map

Published on 26 Mar 2026 - 1:58

89

Views

quotient map in topological space

Published on 14 Jun 2020 - 10:47

53

Views

Suppose g is open and t continuous. Is f(z)=g(z)(1+t(z)) an open map?

Published on 22 Jun 2020 - 12:39

210

Views

Continuous projection is open

Published on 25 Jun 2020 - 18:07

588

Views

Show $l^p$ is not complete with the $q$ norm

Published on 07 Jul 2020 - 22:40

26

Views

Countinuity and openness of $f:(\mathbb{N},\varepsilon) \rightarrow (\mathbb{Z},\tau): f(x)=2x $, $\tau=\{A_n,\emptyset, \mathbb{Z}\}$

Published on 10 Jul 2020 - 14:54

1.9k

Views

Every continuous open mapping $\mathbb{R} \to \mathbb{R}$ is monotonic

Published on 13 Jul 2020 - 2:07

148

Views

the identity mapping is not open

Published on 21 Jul 2020 - 2:46

1k

Views

Is there an elementary proof for the fact that homeomorphism preserves open sets in Euclidean Spaces?

Published on 30 Jul 2020 - 0:14

189

Views

Confusion with the quotient topology

Published on 05 Jul 2016 - 19:47

2k

Views

Give example of $f$ that is open but neither closed not continuous (in 2D).

Published on 18 Jul 2016 - 20:30

174

Views

An application of the open mapping theorem

Published on 19 Jul 2016 - 14:14

567

Views

Non empty interior in the image implies open map

Published on 24 Jul 2016 - 19:40

216

Views

Preimage of a closed set under surjection

Published on 14 Aug 2016 - 4:55

484

Views

Projection of topological space $X\times Y$ is an open map

Published on 09 Sep 2016 - 22:26

List Question

Re(z) is an open map

quotient map in topological space

Suppose g is open and t continuous. Is f(z)=g(z)(1+t(z)) an open map?

Continuous projection is open

Show $l^p$ is not complete with the $q$ norm

Countinuity and openness of $f:(\mathbb{N},\varepsilon) \rightarrow (\mathbb{Z},\tau): f(x)=2x $, $\tau=\{A_n,\emptyset, \mathbb{Z}\}$

Every continuous open mapping $\mathbb{R} \to \mathbb{R}$ is monotonic

the identity mapping is not open

Is there an elementary proof for the fact that homeomorphism preserves open sets in Euclidean Spaces?

Confusion with the quotient topology

Give example of $f$ that is open but neither closed not continuous (in 2D).

An application of the open mapping theorem

Non empty interior in the image implies open map

Preimage of a closed set under surjection

Projection of topological space $X\times Y$ is an open map

Trending Questions

Popular # Hahtags

Popular Questions