General topology Continuous maps Concept
Proper map
Summary
A proper map is a continuous map between topological spaces under which the preimage of every compact set is compact. It is a map that does not let points "escape to infinity". Proper maps between locally compact Hausdorff spaces are closed, and they are the maps that extend continuously to one-point compactifications.
Further reading
About this page
| Tag | 15XEBGNGHC |
|---|---|
| URI | m2://15XEBGNGHC |
| Kind | concept |
| Writing | W0 stub |
| MSC | 54C10 |
| Specializes | Continuous map |
| Same as | |
| Changed | 2 November 2026 |
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