List questions from metrizability

Published on 10 Feb 2024 - 2:49

113

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Topological space not being metrizable.

Published on 16 Feb 2024 - 16:32

104

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$L^p_{loc}(\Omega)$ is completely metrizable

Published on 19 Feb 2024 - 19:20

78

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If $X$ is a compact separable topological space with a countable family of complex valued continuous functions, then $X$ is metrizable

Published on 13 Mar 2024 - 7:36

837

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A condition for the image of a metrizable space to be metrizable

Published on 03 Sep 2012 - 2:40

349

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Doubts about metrization theorems

Published on 01 Nov 2012 - 14:47

2.6k

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Metrizability is a topological property?

Published on 05 Mar 2013 - 1:34

124

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Nagata-Smirnov Metrization Theorem for Pseudometric Spaces

Published on 02 Aug 2020 - 15:36

220

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Metrization problem

Published on 21 Aug 2020 - 13:13

305

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Is it possible to show $\mathbb{R}^\omega$ is not metrizable without using the first countable definition and sequence lemma?

Published on 23 Feb 2026 - 2:56

440

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Weak topology is not metrizable

Published on 05 Sep 2020 - 14:08

204

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Show strong topology on the closed unit ball is metrizable

Published on 11 Sep 2020 - 13:32

250

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Prove on metrization of uncountable product

Published on 17 Sep 2020 - 9:33

146

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Metrizability of the set of probability measures with the Kantorovich–Rubinstein metric

Published on 30 Sep 2020 - 14:10

222

Views

Show that $C(\mathbb R, \mathbb R)$ is not connected

Published on 05 Nov 2020 - 19:41

List Question

Special Type of Locally Metrizable Space

Topological space not being metrizable.

$L^p_{loc}(\Omega)$ is completely metrizable

If $X$ is a compact separable topological space with a countable family of complex valued continuous functions, then $X$ is metrizable

A condition for the image of a metrizable space to be metrizable

Doubts about metrization theorems

Metrizability is a topological property?

Nagata-Smirnov Metrization Theorem for Pseudometric Spaces

Metrization problem

Is it possible to show $\mathbb{R}^\omega$ is not metrizable without using the first countable definition and sequence lemma?

Weak topology is not metrizable

Show strong topology on the closed unit ball is metrizable

Prove on metrization of uncountable product

Metrizability of the set of probability measures with the Kantorovich–Rubinstein metric

Show that $C(\mathbb R, \mathbb R)$ is not connected

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