List questions from topological-groups

Published on 28 Jun 2017 - 20:26

594

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$p$-adic numbers $\mathbb{Q}_p$: Why is $(\mathbb{Q}_p,+,\cdot)$ a topological ring?

Published on 28 Jun 2017 - 21:31

609

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Short exact sequence of topological groups which is split, but not topologically split

Published on 23 Feb 2026 - 10:02

126

Views

Are there nontrivial generating sets for $\operatorname{Homeo}(\text{Cantor Set})$?

Published on 28 Mar 2026 - 3:27

111

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For syndetic set $S\subseteq G$, is there $e\neq g\in G$ such that $gS\cap S$ is a syndetic set?

Published on 30 Jun 2017 - 4:47

688

Views

Non-Hausdorff locally compact topological field

Published on 30 Jun 2017 - 15:55

391

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Is the extension of a locally compact group by a compact group a locally compact group?

Published on 26 Mar 2026 - 22:58

1.8k

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Topological groups on the circle $S^1$

Published on 07 Jul 2017 - 12:42

40

Views

conjugations of a neighbourhood of the identity in a locally compact group

Published on 08 Jul 2017 - 15:40

182

Views

Isomorphism of Hecke algebra $H(G_1 \times G_2)$ with $H(G_1) \otimes H(G_2)$

Published on 25 Mar 2026 - 4:43

150

Views

Directed system of irreducible modules

Published on 25 Mar 2026 - 6:00

149

Views

Isotypic component of class $\mathfrak d$

Published on 26 Mar 2026 - 19:37

36

Views

What is the discrete version of a topological group?

Published on 18 Jul 2017 - 19:27

233

Views

How the category of continuous G-sets can be seen as the comonad algebra?

Published on 30 Mar 2026 - 13:40

234

Views

Why the compact-open topology of the dual group $G^*$ of a discrete group $G$ coincides with the topology inherited from the product ${\bf T}^G$?

Published on 26 Mar 2026 - 8:02

List Question

Orbits by Lie subgroup

$p$-adic numbers $\mathbb{Q}_p$: Why is $(\mathbb{Q}_p,+,\cdot)$ a topological ring?

Short exact sequence of topological groups which is split, but not topologically split

Are there nontrivial generating sets for $\operatorname{Homeo}(\text{Cantor Set})$?

For syndetic set $S\subseteq G$, is there $e\neq g\in G$ such that $gS\cap S$ is a syndetic set?

Non-Hausdorff locally compact topological field

Is the extension of a locally compact group by a compact group a locally compact group?

Topological groups on the circle $S^1$

conjugations of a neighbourhood of the identity in a locally compact group

Isomorphism of Hecke algebra $H(G_1 \times G_2)$ with $H(G_1) \otimes H(G_2)$

Directed system of irreducible modules

Isotypic component of class $\mathfrak d$

What is the discrete version of a topological group?

How the category of continuous G-sets can be seen as the comonad algebra?

Why the compact-open topology of the dual group $G^*$ of a discrete group $G$ coincides with the topology inherited from the product ${\bf T}^G$?

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