Topological groups, Lie groups Topological groups: basic notions Concept
Paratopological group
Summary
A paratopological group is a group with a topology in which multiplication is jointly continuous, while inversion need not be continuous. It sits between a semitopological group and a topological group. The standard example that is not a topological group is the real line under addition with the lower limit topology. Much of the theory asks which extra conditions force inversion to be continuous.
Further reading
About this page
| Tag | H0V3TNH7DN |
|---|---|
| URI | m2://H0V3TNH7DN |
| Kind | concept |
| Writing | W0 stub |
| MSC | 22A05, 54H11 |
| Specializes | Topological monoid |
| Same as | |
| Changed | 2 November 2026 |
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