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15
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Homomorphism from a Lie algebra onto the abelianization of a Lie group

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#lie-groups #lie-algebras #topological-groups
19
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Sublagebra of Right uniform continuous functions on a separable, metrisable groupG with countable dense subset D is G invariant iff D invariant

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#dynamical-systems #group-actions #c-star-algebras #topological-groups #separable-spaces
353
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Exact sequence of topological groups induces exact sequence on the fundamental group

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#general-topology #topological-groups #fundamental-groups #exact-sequence
79
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Suppose G is a metrisable topological group. Must it admit at least one of a right invariant or left invariant compatible metric?

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#group-theory #metric-spaces #topological-groups
55
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Free topological groups and quotients

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#abstract-algebra #general-topology #topological-groups #free-groups #locally-compact-groups
818
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Is a normal subgroup normal in a normal group?

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#general-topology #group-theory #topological-groups #normal-subgroups
647
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Discrete subgroup must be closed?

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#topological-groups #locally-compact-groups
461
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$G/H$ is locally compact if $G$ is locally compact

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#general-topology #topological-groups
314
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Cocompact Discrete Subgroups

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#differential-geometry #topological-groups #lattices-in-lie-groups
353
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Connected components of an algebraic group

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#algebraic-geometry #lie-groups #topological-groups #algebraic-groups
43
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A topological group in which either multiplication or inversion doesn't pullback open sets to $F_\sigma $ sets.

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#general-topology #topological-groups
61
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Limit Points of a sequence on the Circle Group

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#general-topology #limits #intuition #topological-groups
211
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On the definition of complete space in Atiyah-Macdonald's book

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#general-topology #commutative-algebra #topological-groups
31
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Characterization of a collection of sets containing identity in a group so that it generates a topology?

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#general-topology #topological-groups
109
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Independence of some events with respect to Haar measure

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#probability-theory #measure-theory #independence #topological-groups #haar-measure

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