List questions from closed-map

Published on 25 Jun 2015 - 21:11

115

Views

Showing that the space is normal.(exercise)

Published on 20 Oct 2015 - 16:54

151

Views

Is multiplication by $n$ a closed map for an abelian topological group

Published on 08 Nov 2015 - 23:13

11.4k

Views

When is the image of a proper map closed?

Published on 08 Jan 2016 - 10:57

2.1k

Views

$X$ normal $f:X \longrightarrow Y$ continuous, surjective, closed $\Longrightarrow$ $Y$ normal

Published on 24 Jan 2016 - 0:11

2.7k

Views

X compact iff projection is closed

Published on 08 Mar 2016 - 4:41

2.1k

Views

Continuous map on compact Hausdorff spaces is closed

Published on 05 Apr 2016 - 8:33

3.3k

Views

Quotient map that is not closed

Published on 16 Apr 2016 - 8:17

145

Views

$X,Y$ be metric spaces , $f:X \to Y$ be a continuous and closed map , then the boundary of $f^{-1}(\{y\})$ is compact for every $y \in Y$ ?

Published on 17 May 2016 - 16:09

4.5k

Views

Is projection of a closed set $F\subseteq X\times Y$ always closed?

Published on 16 Jun 2013 - 21:14

274

Views

$f$ has to be open or closed map?

Published on 02 Aug 2013 - 10:47

791

Views

Are compact spaces characterized by "closed maps to Hausdorff spaces"?

Published on 22 Aug 2013 - 11:39

3.9k

Views

Open surjective continuous functions being closed.

Published on 30 Aug 2013 - 7:31

10k

Views

Show that a proper continuous map from $X$ to locally compact $Y$ is closed

Published on 22 Sep 2013 - 18:28

2.2k

Views

Lower semicontinuity and closedness equivalence.

Published on 11 May 2017 - 13:12

List Question

A bijective continuous map is a homeomorphism iff it is open, or equivalently, iff it is closed.

Showing that the space is normal.(exercise)

Is multiplication by $n$ a closed map for an abelian topological group

When is the image of a proper map closed?

$X$ normal $f:X \longrightarrow Y$ continuous, surjective, closed $\Longrightarrow$ $Y$ normal

X compact iff projection is closed

Continuous map on compact Hausdorff spaces is closed

Quotient map that is not closed

$X,Y$ be metric spaces , $f:X \to Y$ be a continuous and closed map , then the boundary of $f^{-1}(\{y\})$ is compact for every $y \in Y$ ?

Is projection of a closed set $F\subseteq X\times Y$ always closed?

$f$ has to be open or closed map?

Are compact spaces characterized by "closed maps to Hausdorff spaces"?

Open surjective continuous functions being closed.

Show that a proper continuous map from $X$ to locally compact $Y$ is closed

Lower semicontinuity and closedness equivalence.

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