Topological groups, Lie groups Topological groups: basic notions Concept
Topological monoid
Summary
A topological monoid is a monoid with a topology in which the multiplication is jointly continuous. It is a topological semigroup that has an identity element. Topological monoids arise in algebraic topology, for example as Moore loop spaces, where loops of varying length are concatenated. They also arise in the study of operator semigroups.
Further reading
About this page
| Tag | RA56GHB9JZ |
|---|---|
| URI | m2://RA56GHB9JZ |
| Kind | concept |
| Writing | W0 stub |
| MSC | 22A15 |
| Specializes | Topological semigroup, Monoid |
| Same as | |
| Changed | 2 November 2026 |
Markdown · JSON · Edit on GitHub
What this page needs for W1
- a source with a locator (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.