Topological groups, Lie groups Topological groups: basic notions Concept
Hausdorff topological group
Summary
A Hausdorff topological group is a topological group whose topology is Hausdorff. For topological groups this is a mild condition: it holds as soon as the one-point set of the identity is closed. Many authors include it in the definition of a topological group. Every topological group has a largest Hausdorff quotient, obtained by dividing by the closure of the identity.
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| Tag | 7GKCGQ7215 |
|---|---|
| URI | m2://7GKCGQ7215 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 22A05, 54H11 |
| Specializes | Topological group |
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