List questions from topological-groups

Published on 25 Mar 2026 - 19:10

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check that a $G$-space is proper

Published on 03 Nov 2019 - 17:11

54

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If $\mathfrak{c} = 2^\mathbb{N}$ why $|D^\mathfrak{c}|=\mathfrak{c}$ with $D = \{0, 1\}$.

Published on 05 Nov 2019 - 14:01

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How to prove that $U=\{f\in X^G: f(e)=b_k\}$ is open in $X^G=\{f\,\,|\,\,f:G\to X\}.$

Published on 05 Nov 2019 - 18:24

357

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Centralizer of group of unit quaternions

Published on 26 Mar 2026 - 22:57

80

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Locally compact connected topological group is paracompact

Published on 13 Nov 2019 - 2:28

188

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Compact totally disconnected group topology on $\mathbb{Z}$

Published on 19 Nov 2019 - 22:01

189

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Special linear group action on the sphere

Published on 25 Nov 2019 - 2:04

273

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the closure of a set in a topological group

Published on 26 Nov 2019 - 0:24

143

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Show that if $H$ is a normal subgroup of $G$

Published on 25 Mar 2026 - 17:39

56

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Pulling up the group action on the covering space

Published on 27 Nov 2019 - 1:14

49

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Let G be a locally compact group, and let U be an open set in G. Show that Ug is an open set in G for all g in G.

Published on 27 Nov 2019 - 10:59

57

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Show that for $f,g \in L^{1}(G)$ we have $f*g \in L^{1}(G)$.

Published on 28 Nov 2019 - 12:18

323

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On self-duality of non-Archimedean local fields

Published on 28 Nov 2019 - 16:57

73

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The fundamental group of $SO(3)/SO(2)$

Published on 28 Nov 2019 - 22:11

List Question

Show that $ \ g_2: \Bbb R \to \Bbb R$ given by $g_2: x \to x^{-1}$ (inverse map) is not continuous.

check that a $G$-space is proper

If $\mathfrak{c} = 2^\mathbb{N}$ why $|D^\mathfrak{c}|=\mathfrak{c}$ with $D = \{0, 1\}$.

How to prove that $U=\{f\in X^G: f(e)=b_k\}$ is open in $X^G=\{f\,\,|\,\,f:G\to X\}.$

Centralizer of group of unit quaternions

Locally compact connected topological group is paracompact

Compact totally disconnected group topology on $\mathbb{Z}$

Special linear group action on the sphere

the closure of a set in a topological group

Show that if $H$ is a normal subgroup of $G$

Pulling up the group action on the covering space

Let G be a locally compact group, and let U be an open set in G. Show that Ug is an open set in G for all g in G.

Show that for $f,g \in L^{1}(G)$ we have $f*g \in L^{1}(G)$.

On self-duality of non-Archimedean local fields

The fundamental group of $SO(3)/SO(2)$

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