List questions from topological-groups

Published on 26 Sep 2018 - 2:37

31

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Unique characterizing property of identity component

Published on 26 Sep 2018 - 6:51

642

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Connected components of $PGL(n, \mathbb{R})$ ond $PGL(n, \mathbb{C})$

Published on 27 Sep 2018 - 2:03

392

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Compactness of $PGL(n, \mathbb{R})$ and $PGL(n, \mathbb{C})$

Published on 27 Sep 2018 - 13:27

180

Views

Do dense topological subgroups always have the same finite quotients as their underlying bigger topological subgroup?

Published on 24 Mar 2026 - 23:46

66

Views

"Halving" neighborhoods in topological groups

Published on 04 Oct 2018 - 22:36

181

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Prove that $[0,1]^n / S_n \cong \Delta^n$

Published on 05 Oct 2018 - 15:46

220

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What is $SO(n+1)/O(n)$ as a topological space?

Published on 07 Oct 2018 - 11:07

55

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Every point in completion of a topological group in closure of a countable subset

Published on 10 Oct 2018 - 0:31

217

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Is every topological groupoid equivalent to a disjoint union of topological groups?

Published on 24 Mar 2026 - 20:33

520

Views

Covering of a topological group

Published on 14 Oct 2018 - 11:29

1.3k

Views

Definition of the Fell topology: Completion with respect to a seminorm

Published on 14 Oct 2018 - 20:19

349

Views

$(X/H)/(G/H)=X/G$? Here $G$ is a topological group acting continuously on $X$, $H$ is a closed normal subgroup of $G$.

Published on 17 Oct 2018 - 6:13

85

Views

Continuity of absolute value in topological ordered abelian groups

Published on 17 Mar 2026 - 10:51

115

Views

Locally compact nilpotent group has an open subgroup isomorphic to $\mathbb{R}^n\times K$

Published on 19 Mar 2026 - 23:48

List Question

All connected closed subgroups in $\rm{SO}(3)$

Unique characterizing property of identity component

Connected components of $PGL(n, \mathbb{R})$ ond $PGL(n, \mathbb{C})$

Compactness of $PGL(n, \mathbb{R})$ and $PGL(n, \mathbb{C})$

Do dense topological subgroups always have the same finite quotients as their underlying bigger topological subgroup?

"Halving" neighborhoods in topological groups

Prove that $[0,1]^n / S_n \cong \Delta^n$

What is $SO(n+1)/O(n)$ as a topological space?

Every point in completion of a topological group in closure of a countable subset

Is every topological groupoid equivalent to a disjoint union of topological groups?

Covering of a topological group

Definition of the Fell topology: Completion with respect to a seminorm

$(X/H)/(G/H)=X/G$? Here $G$ is a topological group acting continuously on $X$, $H$ is a closed normal subgroup of $G$.

Continuity of absolute value in topological ordered abelian groups

Locally compact nilpotent group has an open subgroup isomorphic to $\mathbb{R}^n\times K$

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