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Open mapping theorem for normed abelian groups

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#reference-request #normed-spaces #abelian-groups #topological-groups
116
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Under what mild condition, inclusion of a conjugate subgroup in the initial subgroup gives equality?

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#group-theory #lie-groups #topological-groups
53
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Prove that a subgroup in a Lie group is homogeneous

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#real-analysis #abstract-algebra #lie-groups #lie-algebras #topological-groups
88
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A pair of non group homeomorphic topological groups

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#general-topology #topological-groups
118
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Compact Metric Spaces which are Groups and Topologies

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#general-topology #group-theory #metric-spaces #compactness #topological-groups
253
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The definition of two-sided uniformity

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#general-topology #topological-groups #uniform-spaces
51
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A specific quotient homeomorphic to $S^{n-1}$

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#general-topology #topological-groups
26
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find numbers to define a specific action and quotient

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#general-topology #topological-groups
556
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Monodromy action and profinite completion of fundamental group

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#algebraic-topology #topological-groups
2.7k
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Can you give me an example of topological group which is not a Lie group.

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#abstract-algebra #general-topology #group-theory #lie-groups #topological-groups
998
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$H$ is a normal subgroup which is not closed. How to prove the quotient group $G/H$ is not Hausdorff.

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#general-topology #group-theory #topological-groups
41
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Normal subgroup of Engel group

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#proof-verification #lie-groups #lie-algebras #topological-groups #normal-subgroups
288
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Is there a "nice" discontinuous, bijective homomorphism $f: (\mathbb{R},+) \to (\mathbb{R},+)$?

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#topological-groups
449
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Haar measure on $G \rtimes_\phi H$

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#topological-groups
1.1k
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How to find the Haar measure on the group of affine transformations on $\mathbb{R}^n$?

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#measure-theory #topological-groups

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