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15
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Is the product of closed subgroups in topological group closed?

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#abstract-algebra #general-topology #group-theory #topological-groups
542
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Is a translation in a compact Lie group homotopic to the identity?

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#general-topology #differential-geometry #differential-topology #topological-groups
223
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Example of non-amenable group which is the inverse limit of amenable groups

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#general-topology #topological-groups #locally-compact-groups #amenability
453
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Conjugacy classes in topological groups are closed?

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#abstract-algebra #topological-groups #profinite-groups
144
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A continuous action of a compact group on a uniform space is equicontinuous?

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#general-topology #functional-analysis #harmonic-analysis #topological-groups #uniform-spaces
2k
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Show that the sphere, S, and $\mathbb{R}^2$ is not homeomorphic

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#general-topology #topological-groups
719
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canonical quotient map on lie group is proper?

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#lie-groups #topological-groups
124
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Order topology on $\Bbb Q^+$ as a Z-module

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#general-topology #modules #topological-groups #topological-rings
100
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Examples of nilpotent connected locally compact groups which are not Lie groups

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#group-theory #topological-groups #locally-compact-groups
236
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Halmos Measure Theory section 62 exercise 3

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#measure-theory #topological-groups
99
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A problem of nets in topology

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#functional-analysis #banach-spaces #topological-groups #weak-convergence #nets
225
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Fundamental group of a topological group

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#general-topology #homotopy-theory #topological-groups #fundamental-groups
113
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Existence of open subgroup extending a smaller one

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#general-topology #group-theory #abelian-groups #topological-groups
33
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Definition of $\hat{G_1}\times \hat{G_2}$ where $G_1,G_2$ are abelian groups and $\hat{G}$ is the dual of $G$

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#topological-groups #characters
146
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A quotient by a discrete normal subgroup is locally isomorphic to the group itself

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#lie-groups #topological-groups

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