List questions from separation-axioms

Published on 23 Apr 2012 - 5:17

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$X$ is Hausdorff if and only if the diagonal of $X\times X$ is closed

Published on 27 Mar 2026 - 13:20

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$[0,1)\times[0,1)$ (lower limit topology) is a regular, but not a normal topological space

Published on 23 Feb 2026 - 8:43

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Question on Normal Topological Spaces

Published on 17 May 2012 - 16:23

661

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Applications of non-Hausdorff spaces

Published on 08 Jul 2012 - 9:48

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Is there a simple method to prove that the square of the Sorgenfrey line is not normal?

Published on 23 Feb 2026 - 8:41

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When is $C_0(X)$ separable?

Published on 25 Mar 2026 - 21:44

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Why is this quotient space not Hausdorff?

Published on 31 Aug 2012 - 19:55

695

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Is it true that every normal countable topological space is metrizable?

Published on 03 Sep 2012 - 15:04

1.2k

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The set of points where two maps agree is closed?

Published on 20 Sep 2012 - 9:15

14.1k

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Examples for subspace of a normal space which is not normal

Published on 25 Oct 2012 - 1:00

1.3k

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Set of accumulation points is closed in Hausdorff spaces

Published on 23 Nov 2012 - 15:31

701

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Independence of regularity and normality in a topological space

Published on 11 Dec 2012 - 1:39

1.7k

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A continuous bijection from a compact space to a $T_2$ space is always a homeomorphism

Published on 12 Dec 2012 - 6:54

272

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$\operatorname{Spec}A$ and $T_1$ separation axiom

Published on 20 Dec 2012 - 15:59

List Question

Every minimal Hausdorff space is H-closed

$X$ is Hausdorff if and only if the diagonal of $X\times X$ is closed

$[0,1)\times[0,1)$ (lower limit topology) is a regular, but not a normal topological space

Question on Normal Topological Spaces

Applications of non-Hausdorff spaces

Is there a simple method to prove that the square of the Sorgenfrey line is not normal?

When is $C_0(X)$ separable?

Why is this quotient space not Hausdorff?

Is it true that every normal countable topological space is metrizable?

The set of points where two maps agree is closed?

Examples for subspace of a normal space which is not normal

Set of accumulation points is closed in Hausdorff spaces

Independence of regularity and normality in a topological space

A continuous bijection from a compact space to a $T_2$ space is always a homeomorphism

$\operatorname{Spec}A$ and $T_1$ separation axiom

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