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group homomorphism from a profinite group continuous iff kernel open

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#group-theory #topological-groups #profinite-groups
324
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If a covering space of a topological space X has a topological group structure, when we transfer this structure on X?

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#topological-groups #covering-spaces
44
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Reference request for locally compact groups proof

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#functional-analysis #reference-request #harmonic-analysis #topological-groups #locally-compact-groups
109
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Give examples of two $C_2$ actions on $S^n$ such that the orbit spaces are not homotopy equivalent.

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#algebraic-topology #homotopy-theory #topological-groups
37
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Transformation group of a topologic space problem

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#general-topology #group-actions #topological-groups
198
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Extension of a finite group by a connected group necessarily splits?

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#topological-groups
211
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Weak containment of trivial representation

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#abstract-algebra #group-theory #representation-theory #topological-groups
321
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Is every totally disconnected topological group locally profinite?

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#general-topology #topological-groups #profinite-groups
264
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Every group of totally disconnected type is locally profinite?

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#general-topology #topological-groups #profinite-groups
1.5k
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Quotient map from topological group onto left cosets is open

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#proof-verification #topological-groups #quotient-spaces #open-map
63
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Group Actions on $\Bbb R^n$

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#general-topology #algebraic-topology #topological-groups
84
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CW approximation of a topological group

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#algebraic-topology #topological-groups #cw-complexes
485
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The interval [0,1] with additional modulo 1

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#topological-groups
463
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Locally compact topological group is paracompact

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#general-topology #topological-groups #paracompactness
80
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Proof of the existence of liftings in Introduction to Algebraic Topology by Rotman

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#algebraic-topology #proof-explanation #topological-groups

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