Question

Hausdorff if and only if the intersection of all closed neighborhoods of a point equals the point

score 525 · Answer 1 · 2022-02-09 23:58:32

525

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Hausdorff if and only if the intersection of all closed neighborhoods of a point equals the point

Published on 09 Feb 2022 - 23:58

score 79 · Answer 2 · 2022-02-17 17:29:56

79

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Is a space with no disjoint closed sets normal?

Published on 17 Feb 2022 - 17:29

score 58 · Answer 3 · 2022-02-18 11:23:24

58

Views

Topology. we have to prove $\mathbb{X}$ is hausdorff space on real valued continuous function.

Published on 18 Feb 2022 - 11:23

score 30 · Answer 4 · 2026-02-23 08:28:34

30

Views

How Regularity of $X$ implies $\mathcal {A}$ covers $X$?

Published on 23 Feb 2026 - 8:28

score 155 · Answer 5 · 2022-02-25 16:24:43

155

Views

Prove a topology is not Hausdorff

Published on 25 Feb 2022 - 16:24

score 126 · Answer 6 · 2022-03-07 18:11:05

126

Views

Is this quotient space Fréchet or Hausdorff?

Published on 07 Mar 2022 - 18:11

score 38 · Answer 7 · 2026-02-23 06:23:16

38

Views

How to best "sort" Tychonoff spaces, so it is mutually exclusive, collectively exhaustive?

Published on 23 Feb 2026 - 6:23

score 109 · Answer 8 · 2026-02-23 12:02:29

109

Views

Total separatedness and separation axioms

Published on 23 Feb 2026 - 12:02

score 95 · Answer 9 · 2022-03-23 21:06:38

95

Views

Example of nonnormal completely regular $T_{0}$ space that is quotient of normal $T_{1}$ space.

Published on 23 Mar 2022 - 21:06

score 154 · Answer 10 · 2022-03-23 22:31:27

154

Views

Subspace closed iff compact implies Hausdorff?

Published on 23 Mar 2022 - 22:31

score 69 · Answer 11 · 2022-03-24 01:07:14

69

Views

Regular space has a sequence of disjoint open sets

Published on 24 Mar 2022 - 1:07

score 124 · Answer 12 · 2026-03-28 19:29:05

124

Views

Attempt to Hausdorff-ize spaces

Published on 28 Mar 2026 - 19:29

score 65 · Answer 13 · 2022-04-03 19:43:16

65

Views

What different topological properties do spaces of different separation axioms have?

Published on 03 Apr 2022 - 19:43

score 116 · Answer 14 · 2022-04-06 03:04:33

116

Views

Subspaces of normal spaces aren't always normal

Published on 06 Apr 2022 - 3:04

score 155 · Answer 15 · 2022-04-06 22:04:33

155

Views

Prove that there exist closed sets $F_1,F_2$ with $F=F_1 \cup F_2$, $F_1 \subseteq U_1$, and $F_2 \subseteq U_2$ (by contradiction)

Published on 06 Apr 2022 - 22:04

List Question

Hausdorff if and only if the intersection of all closed neighborhoods of a point equals the point

Is a space with no disjoint closed sets normal?

Topology. we have to prove $\mathbb{X}$ is hausdorff space on real valued continuous function.

How Regularity of $X$ implies $\mathcal {A}$ covers $X$?

Prove a topology is not Hausdorff

Is this quotient space Fréchet or Hausdorff?

How to best "sort" Tychonoff spaces, so it is mutually exclusive, collectively exhaustive?

Total separatedness and separation axioms

Example of nonnormal completely regular $T_{0}$ space that is quotient of normal $T_{1}$ space.

Subspace closed iff compact implies Hausdorff?

Regular space has a sequence of disjoint open sets

Attempt to Hausdorff-ize spaces

What different topological properties do spaces of different separation axioms have?

Subspaces of normal spaces aren't always normal

Prove that there exist closed sets $F_1,F_2$ with $F=F_1 \cup F_2$, $F_1 \subseteq U_1$, and $F_2 \subseteq U_2$ (by contradiction)

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