Question

If $X \times X$ is normal, then is $X \times X \times X$ normal?

score 152 · Answer 1 · 2026-03-21 23:07:27

152

Views

If $X \times X$ is normal, then is $X \times X \times X$ normal?

Published on 21 Mar 2026 - 23:07

score 61 · Answer 2 · 2026-03-23 08:39:40

61

Views

Given set U is first countable or not?

Published on 23 Mar 2026 - 8:39

score 55 · Answer 3 · 2018-11-24 21:43:28

55

Views

Are continuous functions between Hausdorff spaces always equal on a closed set?

Published on 24 Nov 2018 - 21:43

score 281 · Answer 4 · 2018-11-25 18:11:56

281

Views

An Application of Urysohn's Lemma?

Published on 25 Nov 2018 - 18:11

score 893 · Answer 5 · 2018-11-28 18:33:39

893

Views

Proof verification: All metric spaces gave the "Hausdorff property".

Published on 28 Nov 2018 - 18:33

score 71 · Answer 6 · 2018-12-12 10:42:28

71

Views

Proving a certain topology to be non-Hausdorff

Published on 12 Dec 2018 - 10:42

score 373 · Answer 7 · 2026-03-22 21:55:17

373

Views

Is $\mathbb{R}^\omega$ endowed with the box topology completely normal (or hereditarily normal)?

Published on 22 Mar 2026 - 21:55

score 41 · Answer 8 · 2018-12-17 00:52:36

41

Views

Prove or disprove if a quotient map from X to Y with Y Hausdorff, then X is Hausdorff.

Published on 17 Dec 2018 - 0:52

score 125 · Answer 9 · 2018-12-17 12:51:57

125

Views

Contradiction in the proof a space with every compact subspace is not Hausdorff

Published on 17 Dec 2018 - 12:51

score 129 · Answer 10 · 2018-12-20 02:41:06

129

Views

What topological spaces satisfy a property involving relatively compact sets?

Published on 20 Dec 2018 - 2:41

score 93 · Answer 11 · 2018-12-21 03:32:54

93

Views

What topological spaces satisfy another property involving relatively compact sets?

Published on 21 Dec 2018 - 3:32

score 196 · Answer 12 · 2026-02-22 23:09:15

196

Views

What topological spaces satisfy yet another property involving relatively compact sets?

Published on 22 Feb 2026 - 23:09

score 1k · Answer 13 · 2018-12-26 08:52:00

1k

Views

For the existence of one-point compactification, do we need locally compactness?

Published on 26 Dec 2018 - 8:52

score 422 · Answer 14 · 2018-12-26 10:58:25

422

Views

Can every locally compact Hausdorff space be recognized as a subspace of a cube that has an open underlying set?

Published on 26 Dec 2018 - 10:58

score 181 · Answer 15 · 2018-12-27 20:12:40

181

Views

A space is Hausdorff iff...

Published on 27 Dec 2018 - 20:12

List Question

If $X \times X$ is normal, then is $X \times X \times X$ normal?

Given set U is first countable or not?

Are continuous functions between Hausdorff spaces always equal on a closed set?

An Application of Urysohn's Lemma?

Proof verification: All metric spaces gave the "Hausdorff property".

Proving a certain topology to be non-Hausdorff

Is $\mathbb{R}^\omega$ endowed with the box topology completely normal (or hereditarily normal)?

Prove or disprove if a quotient map from X to Y with Y Hausdorff, then X is Hausdorff.

Contradiction in the proof a space with every compact subspace is not Hausdorff

What topological spaces satisfy a property involving relatively compact sets?

What topological spaces satisfy another property involving relatively compact sets?

What topological spaces satisfy yet another property involving relatively compact sets?

For the existence of one-point compactification, do we need locally compactness?

Can every locally compact Hausdorff space be recognized as a subspace of a cube that has an open underlying set?

A space is Hausdorff iff...

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