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

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#lie-groups #topological-groups #orthogonal-matrices
34
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Unique characterizing property of identity component

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#general-topology #lie-groups #topological-groups
645
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Connected components of $PGL(n, \mathbb{R})$ ond $PGL(n, \mathbb{C})$

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#general-topology #lie-groups #connectedness #topological-groups
395
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Compactness of $PGL(n, \mathbb{R})$ and $PGL(n, \mathbb{C})$

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#general-topology #lie-groups #compactness #topological-groups
183
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Do dense topological subgroups always have the same finite quotients as their underlying bigger topological subgroup?

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#abstract-algebra #general-topology #group-theory #topological-groups #profinite-groups
69
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"Halving" neighborhoods in topological groups

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#general-topology #topological-groups
185
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Prove that $[0,1]^n / S_n \cong \Delta^n$

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#general-topology #topological-groups #quotient-spaces
223
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What is $SO(n+1)/O(n)$ as a topological space?

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#general-topology #topological-groups #quotient-spaces
58
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Every point in completion of a topological group in closure of a countable subset

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#general-topology #abelian-groups #topological-groups
223
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Is every topological groupoid equivalent to a disjoint union of topological groups?

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#category-theory #topological-groups #groupoids
523
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Covering of a topological group

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#group-theory #topological-groups #covering-spaces
1.3k
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Definition of the Fell topology: Completion with respect to a seminorm

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#functional-analysis #reference-request #representation-theory #topological-groups
352
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$(X/H)/(G/H)=X/G$? Here $G$ is a topological group acting continuously on $X$, $H$ is a closed normal subgroup of $G$.

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#general-topology #group-actions #topological-groups
92
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Continuity of absolute value in topological ordered abelian groups

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#abelian-groups #topological-groups #ordered-groups
123
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Locally compact nilpotent group has an open subgroup isomorphic to $\mathbb{R}^n\times K$

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#topological-groups #locally-compact-groups #nilpotent-groups

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