Question

Fully normal implies paracompact without a $T_1$ assumption?

score 117 · Answer 1 · 2024-02-13 20:33:21

117

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Fully normal implies paracompact without a $T_1$ assumption?

Published on 13 Feb 2024 - 20:33

score 890 · Answer 2 · 2015-02-21 00:08:38

890

Views

Product of paracompact spaces

Published on 21 Feb 2015 - 0:08

score 419 · Answer 3 · 2015-06-07 12:04:33

419

Views

$R_1$ paracompact spaces are normal

Published on 07 Jun 2015 - 12:04

score 737 · Answer 4 · 2016-04-21 17:46:03

737

Views

Are locally contractible spaces hereditarily paracompact?

Published on 21 Apr 2016 - 17:46

score 495 · Answer 5 · 2016-05-18 06:47:48

495

Views

Non-trivial explicit example of a partition of unity

Published on 18 May 2016 - 6:47

score 340 · Answer 6 · 2014-02-20 12:09:22

340

Views

Why is every one dimensional Complex Manifold paracompact?

Published on 20 Feb 2014 - 12:09

score 64 · Answer 7 · 2017-11-24 16:12:51

64

Views

A property of neighborhoods of the diagonal $\Delta\subset Y\times Y$ obtained from a paracompact space $Y$

Published on 24 Nov 2017 - 16:12

score 2.9k · Answer 8 · 2011-01-02 22:56:51

2.9k

Views

The product of a paracompact space and a compact space is paracompact. (Why?)

Published on 02 Jan 2011 - 22:56

score 604 · Answer 9 · 2012-06-12 06:13:01

604

Views

Paracompact and Compactly Generated spaces

Published on 12 Jun 2012 - 6:13

score 1.1k · Answer 10 · 2013-01-31 19:11:09

1.1k

Views

Paracompactness of CW complexes (rather long)

Published on 31 Jan 2013 - 19:11

score 92 · Answer 11 · 2020-07-31 15:53:08

92

Views

Question 2 from Bredon's Topology and Geometry page 39

Published on 31 Jul 2020 - 15:53

score 139 · Answer 12 · 2020-08-01 13:40:16

139

Views

Paracompact Hausdorff Space with Dense Lindelof subset is Lindelof

Published on 01 Aug 2020 - 13:40

score 28 · Answer 13 · 2020-08-19 22:41:55

28

Views

Is proving '$X$ is paracompact Hausdorff iff $X\times Y$ is $T_4$ for all compact Hausdorff $Y$' without Tamano's theorem possible?

Published on 19 Aug 2020 - 22:41

score 81 · Answer 14 · 2020-09-16 19:27:10

81

Views

Point set topology - covering space of paracompact Hausdorff space is such?

Published on 16 Sep 2020 - 19:27

score 143 · Answer 15 · 2020-10-02 22:26:26

143

Views

A topological space $(X, \tau)$ which is: $\sigma-$ compact, Hausdorff, and locally compact. Then X is also paracompact.

Published on 02 Oct 2020 - 22:26

List Question

Fully normal implies paracompact without a $T_1$ assumption?

Product of paracompact spaces

$R_1$ paracompact spaces are normal

Are locally contractible spaces hereditarily paracompact?

Non-trivial explicit example of a partition of unity

Why is every one dimensional Complex Manifold paracompact?

A property of neighborhoods of the diagonal $\Delta\subset Y\times Y$ obtained from a paracompact space $Y$

The product of a paracompact space and a compact space is paracompact. (Why?)

Paracompact and Compactly Generated spaces

Paracompactness of CW complexes (rather long)

Question 2 from Bredon's Topology and Geometry page 39

Paracompact Hausdorff Space with Dense Lindelof subset is Lindelof

Is proving '$X$ is paracompact Hausdorff iff $X\times Y$ is $T_4$ for all compact Hausdorff $Y$' without Tamano's theorem possible?

Point set topology - covering space of paracompact Hausdorff space is such?

A topological space $(X, \tau)$ which is: $\sigma-$ compact, Hausdorff, and locally compact. Then X is also paracompact.

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