List questions from paracompactness

Published on 22 Jan 2018 - 17:32

120

Views

Space of Sequences with Finitely Many Nonzero Terms is Paracompact

Published on 06 Mar 2018 - 1:06

111

Views

Theorem 41.7 in Munkres Topology

Published on 06 Mar 2018 - 18:20

207

Views

Tietze extension theorem for vector bundles on paracompact spaces

Published on 22 Feb 2026 - 19:31

89

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Proof a theorem about Metrizable manifold

Published on 12 May 2018 - 21:03

509

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Every $F_\sigma$-set in a paracompact space is paracompact.

Published on 20 Sep 2018 - 23:54

66

Views

Uncountable product of many copies of $\mathbb{Z}$ is not paracompact

Published on 28 Sep 2018 - 22:54

316

Views

Construct Compact Exhaustion using Paracompactness

Published on 13 Oct 2018 - 18:24

445

Views

Locally compact topological group is paracompact

Published on 07 Nov 2018 - 8:42

70

Views

A cover of Locally connected space with certain compactness property

Published on 08 Dec 2018 - 3:25

677

Views

Partitions of unity $\Leftrightarrow$ Hausdorff + Second-countable (in locally Euclidean space)

Published on 15 Jan 2019 - 14:40

322

Views

Intuition behind Covering Axioms

Published on 06 Apr 2019 - 9:10

128

Views

Covering characterization of Metrizability and Paracompactness

Published on 14 Apr 2019 - 11:48

836

Views

Closed Locally Finite Refinement Indexed by Original Cover

Published on 14 May 2019 - 14:48

173

Views

Link between topological dimension and Hamel (algebraic) dimension of a vector space

Published on 17 May 2019 - 18:10

List Question

normal doesn't imply paracompact

Space of Sequences with Finitely Many Nonzero Terms is Paracompact

Theorem 41.7 in Munkres Topology

Tietze extension theorem for vector bundles on paracompact spaces

Proof a theorem about Metrizable manifold

Every $F_\sigma$-set in a paracompact space is paracompact.

Uncountable product of many copies of $\mathbb{Z}$ is not paracompact

Construct Compact Exhaustion using Paracompactness

Locally compact topological group is paracompact

A cover of Locally connected space with certain compactness property

Partitions of unity $\Leftrightarrow$ Hausdorff + Second-countable (in locally Euclidean space)

Intuition behind Covering Axioms

Covering characterization of Metrizability and Paracompactness

Closed Locally Finite Refinement Indexed by Original Cover

Link between topological dimension and Hamel (algebraic) dimension of a vector space

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