General topology Continuous maps Concept
Local homeomorphism
Summary
A local homeomorphism is a map between topological spaces that is a homeomorphism near each point, onto an open set. It need not be injective or surjective as a whole. Covering maps and the projections of étale spaces are local homeomorphisms, and every local homeomorphism is continuous and open.
Further reading
About this page
| Tag | MDH71ZZ8XX |
|---|---|
| URI | m2://MDH71ZZ8XX |
| Kind | concept |
| Writing | W0 stub |
| MSC | 54C10, 54C05 |
| Specializes | Open map |
| Same as | |
| Changed | 2 November 2026 |
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