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15
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Is a homogeneous space $X$ of a compact Hausdorff group $G$ with closed stabilizer $G_x$ itself Hausdorff?

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#general-topology #compactness #topological-groups #homogeneous-spaces
276
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Can an orthogonal matrix move monotonically toward a signed permutation matrix?

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#linear-algebra #matrices #topological-groups #orthogonal-matrices
100
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Groups where every continuous function is uniformly continuous

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#abstract-algebra #functional-analysis #topological-groups #uniform-continuity #topological-vector-spaces
304
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Proof of Profinite groups are inverse limits of finite groups

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#algebraic-number-theory #solution-verification #topological-groups #group-cohomology #profinite-groups
97
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Splitting of homomorphism onto Prüfer group

Published on
#abstract-algebra #abelian-groups #topological-groups #locally-compact-groups #divisible-groups
110
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Support of Measurable Function on Locally Compact Group

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#topological-groups #locally-compact-groups #haar-measure
61
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Second countability is invariant under orbit space of an action

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#general-topology #group-actions #topological-groups
913
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Closure of a subgroup is again a subgroup

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#algebraic-topology #solution-verification #topological-groups
136
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Alexandroff and Stone Čech compactification of topological groups.

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#general-topology #group-theory #compactness #topological-groups #compactification
77
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How to show that there is an unique multiplication on a group topology in the following problem?

Published on
#algebraic-topology #topological-groups
66
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Closedness of the subgroup preserving the measure

Published on
#measure-theory #topological-groups
218
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Does a left group action induce an open continuous map?

Published on
#general-topology #group-actions #topological-groups
60
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Basic Lie group Theory

Published on
#group-theory #lie-groups #smooth-manifolds #topological-groups
34
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$\phi^{-1}(\phi(U))=\bigcup_{k\in Ker(\phi)}kU$?

Published on
#topological-groups
207
Views

If $G$ is a locally compact group equipped with a Haar measure, then $L^{1}(G)$ is a Banach algebra with the convolution as the product operation.

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#functional-analysis #measure-theory #convolution #topological-groups #haar-measure

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