General topology Continuous maps Concept
Perfect map
Summary
A perfect map is a continuous closed map onto its target whose fibres are all compact. Perfect maps carry many properties, such as compactness, local compactness and paracompactness, in both directions between the source and the target. They are a central tool of general topology for comparing spaces.
Further reading
About this page
| Tag | N6TE6WJ4EZ |
|---|---|
| URI | m2://N6TE6WJ4EZ |
| Kind | concept |
| Writing | W0 stub |
| MSC | 54C10 |
| Specializes | Closed map |
| Same as | |
| Changed | 2 November 2026 |
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