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15
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Disintegration of Haar measures

Published on
#measure-theory #harmonic-analysis #topological-groups #locally-compact-groups #haar-measure
49
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Difference between the cardinalty of a metrizable topological group and its dense subgroup

Published on
#general-topology #topological-groups
800
Views

A topological group which is also a (not necessarily smooth) manifold is orientable

Published on
#algebraic-topology #manifolds #topological-groups #orientation
323
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Topologically simple compact topological groups

Published on
#general-topology #reference-request #topological-groups
287
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The product map and the inverse map are continuous with respect to the Krull topology

Published on
#proof-verification #field-theory #galois-theory #topological-groups
64
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Checking continuity of a map defined on a group

Published on
#general-topology #proof-verification #topological-groups
63
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Are these two topologies same

Published on
#topological-groups #topological-vector-spaces #topological-rings
263
Views

Local homeomorphism passes to the quotient under proper group action?

Published on
#general-topology #topological-groups #group-actions #quotient-spaces
131
Views

A topological group $G$ is compact whenever there is a compact $K \subset G$ such that $x K \cap K \neq \emptyset$ for all $x \in G$

Published on
#general-topology #topological-groups
32
Views

The set $A := \{ k \in G \; | \; \mu_G(S) = \mu_G(S \cap k S) \}$ forms a closed subgroup of $G$.

Published on
#group-theory #measure-theory #topological-groups
171
Views

Normalizer of topological subgroup

Published on
#general-topology #topological-groups
46
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G-orbit in a Grassmann manifold

Published on
#general-topology #manifolds #topological-groups
318
Views

Generating the compact-open topology on the Pontryagin dual group.

Published on
#general-topology #topological-groups #locally-compact-groups
470
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The Pontryagin dual $\widehat{G}$ of a second countable locally compact Abelian group $G$ is second countable.

Published on
#topological-groups #locally-compact-groups
33
Views

Can open and closed manifolds be combined in non-trivial ways?

Published on
#general-topology #topological-groups

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