Question

If $X$ Hausdorff, compact with $G_{\delta }$ diagonal then $X$ has a countable basis

score 186 · Answer 1 · 2019-06-13 23:36:17

186

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If $X$ Hausdorff, compact with $G_{\delta }$ diagonal then $X$ has a countable basis

Published on 13 Jun 2019 - 23:36

score 1.2k · Answer 2 · 2019-06-16 13:47:17

1.2k

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Prob. 1, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: Every pair of points in a regular space have neighborhoods with disjoint closures

Published on 16 Jun 2019 - 13:47

score 1.6k · Answer 3 · 2019-06-16 14:41:10

1.6k

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Prob. 2, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: Any pair of disjoint closed sets in a normal space have neighborhoods whose closures are disjoint

Published on 16 Jun 2019 - 14:41

score 358 · Answer 4 · 2019-06-16 19:46:30

358

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Prob. 3, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: Every order topology is regular

Published on 16 Jun 2019 - 19:46

score 504 · Answer 5 · 2019-06-18 18:38:57

504

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Prob. 6, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a normal space under a closed continuous map is also normal

Published on 18 Jun 2019 - 18:38

score 43 · Answer 6 · 2019-06-24 23:21:04

43

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Hausdorff and compact space

Published on 24 Jun 2019 - 23:21

score 42 · Answer 7 · 2019-07-03 16:18:39

42

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Showing the normality of topological space

Published on 03 Jul 2019 - 16:18

score 401 · Answer 8 · 2019-07-14 14:00:22

401

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Any regular space isn't Hausdorff?

Published on 14 Jul 2019 - 14:00

score 220 · Answer 9 · 2019-08-19 21:55:50

220

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Proof that the spectrum of a ring is Kolmogorov

Published on 19 Aug 2019 - 21:55

score 84 · Answer 10 · 2019-09-02 13:05:36

84

Views

Suppose a subspace of $X$ is compact iff closed. Then is $X$ compact hausdorff?

Published on 02 Sep 2019 - 13:05

score 143 · Answer 11 · 2026-03-22 00:51:18

143

Views

Classifying Hausdorff spaces

Published on 22 Mar 2026 - 0:51

score 277 · Answer 12 · 2019-09-27 18:20:36

277

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How to show that filter convergence implies Hausdorff

Published on 27 Sep 2019 - 18:20

score 1.9k · Answer 13 · 2014-03-23 22:50:59

1.9k

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How big can a separable Hausdorff space be?

Published on 23 Mar 2014 - 22:50

score 631 · Answer 14 · 2014-03-25 14:51:31

631

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How to prove the uniqueness of a continuous extension of a densely defined function?

Published on 25 Mar 2014 - 14:51

score 87 · Answer 15 · 2014-04-03 23:36:33

87

Views

Misunderstanding of an exercise on topology?

Published on 03 Apr 2014 - 23:36

List Question

If $X$ Hausdorff, compact with $G_{\delta }$ diagonal then $X$ has a countable basis

Prob. 1, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: Every pair of points in a regular space have neighborhoods with disjoint closures

Prob. 2, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: Any pair of disjoint closed sets in a normal space have neighborhoods whose closures are disjoint

Prob. 3, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: Every order topology is regular

Prob. 6, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a normal space under a closed continuous map is also normal

Hausdorff and compact space

Showing the normality of topological space

Any regular space isn't Hausdorff?

Proof that the spectrum of a ring is Kolmogorov

Suppose a subspace of $X$ is compact iff closed. Then is $X$ compact hausdorff?

Classifying Hausdorff spaces

How to show that filter convergence implies Hausdorff

How big can a separable Hausdorff space be?

How to prove the uniqueness of a continuous extension of a densely defined function?

Misunderstanding of an exercise on topology?

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