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Results tagged with topological-groups
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user 56667
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).
5
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0
answers
310
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Polish groups with no small subgroups
Definitions.
A Polish group is a topological group $G$ that is homeomorphic to a separable complete metric space.
A group $G$ has no small subgroups if there exists a neighborhood $U$ of the identit …
- 998
2
votes
0
answers
188
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Factoring a topological universal cover
Let $X$ be a compact, connected, locally path-connected, and semilocally simply connected topological group with $\pi_1(X) \cong \mathbb{Z}$.
Let $u\colon \widetilde{X}\to X$ be its topological univ …
- 998