List questions from separation-axioms

Published on 28 Aug 2015 - 10:51

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Cheap proof that the Sorgenfrey line is normal?

Published on 23 Feb 2026 - 6:37

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Topological space that is not sequential and not $T_0$

Published on 04 Sep 2015 - 23:37

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the real line generated by usual open sets and cocountable sets is Hausdorff

Published on 08 Sep 2015 - 23:28

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Inductive limit of separable Banach spaces

Published on 13 Sep 2015 - 0:49

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Set cannot be Hausdorff or compact with a non-subspace topology

Published on 14 Sep 2015 - 16:18

27

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Let $(X,T)$ be a topological space such that $\forall A\subset X \ \ \exists F_i \in T $ such that $A=\bigcap\limits_iF_i $, is $(X.T) $ Hausdorff

Published on 01 Oct 2015 - 23:25

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An infinite set with the cofinite topology is not Hausdorff.

Published on 05 Oct 2015 - 4:49

502

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Question about intersection of connected subspaces in a Hausdorff space

Published on 06 Oct 2015 - 20:25

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Question on infinite T4 topological space

Published on 09 Oct 2015 - 9:47

28

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convergence of sequences in $T_4$ space

Published on 19 Mar 2026 - 11:33

606

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A $T_1$ connected space having more than one point.

Published on 12 Oct 2015 - 8:24

591

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Application of Urysohn's Lemma.

Published on 14 Oct 2015 - 21:42

116

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Showing that the space is normal.(exercise)

Published on 25 Mar 2026 - 17:41

143

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Can we define Urysohn function here?

Published on 22 Mar 2026 - 10:11

List Question

An example of open closed continuous image of $T_2$-space that is not $T_2$

Cheap proof that the Sorgenfrey line is normal?

Topological space that is not sequential and not $T_0$

the real line generated by usual open sets and cocountable sets is Hausdorff

Inductive limit of separable Banach spaces

Set cannot be Hausdorff or compact with a non-subspace topology

Let $(X,T)$ be a topological space such that $\forall A\subset X \ \ \exists F_i \in T $ such that $A=\bigcap\limits_iF_i $, is $(X.T) $ Hausdorff

An infinite set with the cofinite topology is not Hausdorff.

Question about intersection of connected subspaces in a Hausdorff space

Question on infinite T4 topological space

convergence of sequences in $T_4$ space

A $T_1$ connected space having more than one point.

Application of Urysohn's Lemma.

Showing that the space is normal.(exercise)

Can we define Urysohn function here?

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