Topological groups, Lie groups Topological groups: basic notions Concept
Continuous multiplication
Summary
A set with a binary operation and a topology has continuous multiplication when the operation, seen as a map of two variables, is continuous. Here the domain carries the product topology. This single condition is the common base of topological semigroups, topological monoids and topological groups. It asks for joint continuity, which is stronger than continuity in each variable separately.
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About this page
| Tag | ZZK2GM1V15 |
|---|---|
| URI | m2://ZZK2GM1V15 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 22A15, 22A05 |
| Changed | 2 November 2026 |
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