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Results tagged with topological-groups
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user 32022
A topological group is a group $G$ together with a topology on the elements of $G$ such that the group operation and group inverse function are both continuous (with respect to the topology).
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Is every topological (resp. Lie-) group the isometrygroup of a metric space (resp. Riemannia...
The isometry group of a metric space is a topological group (with the compact open topology). The isometry group of a Riemann Manifold is a Liegroup. (Thm. of Steenrod-Myers)
So, is every topological …
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