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How can we characterize all topological groups given $G$?

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#general-topology #group-theory #topological-groups
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Topological groups, why need them?

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#general-topology #algebraic-topology #soft-question #topological-groups #motivation
80
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Existence of a neighbourhood of a compact set ( from james fibrewise topology)

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#general-topology #topological-groups #fiber-bundles
470
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Existence of particular open subgroups, given a profinite group

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#general-topology #topological-groups #profinite-groups
203
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Connected component of identity of an automorphism group is a subgroup

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#topological-groups
1.1k
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A question on the classifying space $BG$, its universal property (?), and the stack $[\bullet/G]$

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#algebraic-geometry #algebraic-topology #topological-groups
1.9k
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Prove that the Pontryagin dual of a locally compact abelian group is also a locally compact abelian group.

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#general-topology #topological-groups #harmonic-analysis
147
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a measurable function on a LCA group coincide with an mulitplicative character almost everywhere

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#topological-groups
179
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Showing that $\pi(G/H, 1) = H$ under a condition

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#algebraic-topology #topological-groups #fundamental-groups
100
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Topological Rings and Homothecy

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#continuity #topological-groups #topological-rings
338
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Showing $U$ open in topological group $G$ $\implies$ $gU$ is open

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#general-topology #topological-groups
312
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A descending filtration on a group defines a topological group.

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#group-theory #topological-groups
179
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Topology of $GL_n(K)$

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#general-topology #topological-groups #vector-bundles
283
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Connected component and group action

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#topological-groups #group-actions
1.2k
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Closure of a topological group

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#abstract-algebra #general-topology #topological-groups

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