Question

Does there exist a non-Hausdorff space with a Hausdorffly located Hausdorff subspace whose extension is also Hausdorff?

score 54 · Answer 1 · 2020-10-18 22:33:24

54

Views

Does there exist a non-Hausdorff space with a Hausdorffly located Hausdorff subspace whose extension is also Hausdorff?

Published on 18 Oct 2020 - 22:33

score 60 · Answer 2 · 2020-10-20 23:23:36

60

Views

Are regular Hausdorff $G_\delta$ spaces normal?

Published on 20 Oct 2020 - 23:23

score 120 · Answer 3 · 2020-10-22 01:20:59

120

Views

Show that the quotient space is not Hausdorff.

Published on 22 Oct 2020 - 1:20

score 98 · Answer 4 · 2020-10-23 20:36:09

98

Views

$\mathbb{S}^1$-action on $\mathbb S^{2n+1}$

Published on 23 Oct 2020 - 20:36

score 101 · Answer 5 · 2026-02-23 06:25:51

101

Views

Let $ (X, \tau) $ be a paracompact space $ T_2 $ and $ A \subset X $. If $A$ is closed, then the quotient space $X / A$ is paracompact and $T_2$.

Published on 23 Feb 2026 - 6:25

score 43 · Answer 6 · 2020-11-01 23:07:56

43

Views

Doubt - Hausdorff Space

Published on 01 Nov 2020 - 23:07

score 402 · Answer 7 · 2020-11-05 22:56:54

402

Views

Real projective space is Hausdorff

Published on 05 Nov 2020 - 22:56

score 180 · Answer 8 · 2020-11-06 08:01:11

180

Views

Given two points $x,y$ in a separated scheme $X$, is there always some function on an open set containing both that distinguishes them?

Published on 06 Nov 2020 - 8:01

score 358 · Answer 9 · 2026-02-23 13:44:37

358

Views

Compact absolute retracts have the universal extension property. Where's the mistake in this proof?

Published on 23 Feb 2026 - 13:44

score 88 · Answer 10 · 2026-03-27 17:57:32

88

Views

Diagonal is closed in $(X, \tau_1) \times (X, \tau_2)$ (both are Hausdorff)

Published on 27 Mar 2026 - 17:57

score 274 · Answer 11 · 2020-11-15 19:35:20

274

Views

Are there non-Hausdorff spaces that satisfy the Galois correspondence for covering spaces?

Published on 15 Nov 2020 - 19:35

score 67 · Answer 12 · 2020-11-18 11:24:04

67

Views

A property in Hausdorff compact spaces

Published on 18 Nov 2020 - 11:24

score 74 · Answer 13 · 2020-11-18 22:29:14

74

Views

A property on compact Hausdorff space

Published on 18 Nov 2020 - 22:29

score 441 · Answer 14 · 2026-03-24 06:20:47

441

Views

Is $\mathbb R$ completely normal space?

Published on 24 Mar 2026 - 6:20

score 77 · Answer 15 · 2026-03-28 02:03:14

77

Views

Do the Hausdorff quotient and completely regular modification functors converge?

Published on 28 Mar 2026 - 2:03

List Question

Does there exist a non-Hausdorff space with a Hausdorffly located Hausdorff subspace whose extension is also Hausdorff?

Are regular Hausdorff $G_\delta$ spaces normal?

Show that the quotient space is not Hausdorff.

$\mathbb{S}^1$-action on $\mathbb S^{2n+1}$

Let $ (X, \tau) $ be a paracompact space $ T_2 $ and $ A \subset X $. If $A$ is closed, then the quotient space $X / A$ is paracompact and $T_2$.

Doubt - Hausdorff Space

Real projective space is Hausdorff

Given two points $x,y$ in a separated scheme $X$, is there always some function on an open set containing both that distinguishes them?

Compact absolute retracts have the universal extension property. Where's the mistake in this proof?

Diagonal is closed in $(X, \tau_1) \times (X, \tau_2)$ (both are Hausdorff)

Are there non-Hausdorff spaces that satisfy the Galois correspondence for covering spaces?

A property in Hausdorff compact spaces

A property on compact Hausdorff space

Is $\mathbb R$ completely normal space?

Do the Hausdorff quotient and completely regular modification functors converge?

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