List questions from separation-axioms

Published on 03 May 2026 - 4:54

211

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normal doesn't imply paracompact

Published on 02 May 2026 - 3:44

340

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Find the intersection of all $T_2$ topologies on an infinite set $X$

Published on 01 May 2026 - 9:47

75

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Why isn't $T_1$ space also Hausforff?

Published on 03 May 2026 - 4:50

423

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Quotient space and quotient set for $\mathrm{End}(\mathbb{R}^2)$

Published on 02 May 2026 - 5:26

87

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$\left\{e\right\}$ Closed Implies $T_0$ and Regular Topological Group

Published on 02 May 2026 - 10:05

200

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Question about the proof of $T_3+$ countable basis $= T_4$

Published on 02 May 2026 - 6:25

287

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Show that a non-trivial connected Tychonoff space is uncountable

Published on 03 May 2026 - 6:10

399

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A homeomorphism on a dense set in Hausdorff space

Published on 29 Apr 2026 - 12:54

92

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Unclear definition of open sets in proof of Regular Lindelof space is normal

Published on 03 May 2026 - 4:17

536

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$X,Y$ are normal, $A \subset X$ closed, $f:A \rightarrow Y$ continuous. Show that $X \cup_f Y$ is normal.

Published on 03 May 2026 - 8:38

122

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Is space is not normal?

Published on 10 May 2026 - 12:30

729

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Every $T_3$ space is $T_2$

Published on 10 May 2026 - 14:52

250

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Compactness implies closedness

Published on 10 May 2026 - 12:29

687

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quotient topology doesn't preserve separation axioms

Published on 29 Apr 2026 - 12:55

List Question

A finite topological space is T1 if and only the topology is discrete

normal doesn't imply paracompact

Find the intersection of all $T_2$ topologies on an infinite set $X$

Why isn't $T_1$ space also Hausforff?

Quotient space and quotient set for $\mathrm{End}(\mathbb{R}^2)$

$\left\{e\right\}$ Closed Implies $T_0$ and Regular Topological Group

Question about the proof of $T_3+$ countable basis $= T_4$

Show that a non-trivial connected Tychonoff space is uncountable

A homeomorphism on a dense set in Hausdorff space

Unclear definition of open sets in proof of Regular Lindelof space is normal

$X,Y$ are normal, $A \subset X$ closed, $f:A \rightarrow Y$ continuous. Show that $X \cup_f Y$ is normal.

Is space is not normal?

Every $T_3$ space is $T_2$

Compactness implies closedness

quotient topology doesn't preserve separation axioms

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