List questions from separation-axioms

Published on 15 Oct 2014 - 2:35

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Is every linear ordered set normal in its order topology?

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Quotient Space induced by $x \sim y \iff \overline{\{ x \}} = \overline{\{ y \}}$ is $T_0$

Published on 03 Nov 2014 - 6:42

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How to prove that $\mathbb{R}$ is $T_1$?

Published on 11 Nov 2014 - 18:33

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When is a quotient by closed equivalence relation Hausdorff

Published on 16 Nov 2014 - 16:19

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First Countable Spaces are Hausdorff or Not?

Published on 18 Nov 2014 - 15:38

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Completely regular space with a G$_\delta$-singleton which is not a zero-set

Published on 22 Nov 2014 - 12:26

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Are subspaces of paracompact spaces normal?

Published on 23 Feb 2026 - 1:03

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Topology generated by Functions.

Published on 15 Dec 2014 - 4:01

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Topological Spaces Involving Connectedness, Compactness, and Hausdorfness

Published on 19 Dec 2014 - 11:42

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$[0,\omega_1]\times [0,\omega_1)$ is not $T_4$.

Published on 24 Dec 2014 - 19:29

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If two continuous maps into a Hausdorff space agree on a dense subset, they are identically equal

Published on 28 Dec 2014 - 23:41

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Double derived set in $T_0$ spaces

Published on 13 Oct 2019 - 14:04

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$T_0$-identification of a topological space, proof using singleton closures

Published on 15 Oct 2019 - 13:24

148

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Compact-Hausdorff space in general topology

Published on 16 Oct 2019 - 18:02

List Question

Hausdorff Topological Space

Is every linear ordered set normal in its order topology?

Quotient Space induced by $x \sim y \iff \overline{\{ x \}} = \overline{\{ y \}}$ is $T_0$

How to prove that $\mathbb{R}$ is $T_1$?

When is a quotient by closed equivalence relation Hausdorff

First Countable Spaces are Hausdorff or Not?

Completely regular space with a G$_\delta$-singleton which is not a zero-set

Are subspaces of paracompact spaces normal?

Topology generated by Functions.

Topological Spaces Involving Connectedness, Compactness, and Hausdorfness

$[0,\omega_1]\times [0,\omega_1)$ is not $T_4$.

If two continuous maps into a Hausdorff space agree on a dense subset, they are identically equal

Double derived set in $T_0$ spaces

$T_0$-identification of a topological space, proof using singleton closures

Compact-Hausdorff space in general topology

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