Show that any map between compact Hausdorff spaces must be proper.
Solution
If \(Y\) is compact Hausdorff, \(U\) is compact iff \(U\) is closed, and by continuity closed sets pull back.
Continuous maps between compact Hausdorff spaces are proper
E-OYP3Y
- Area
- Topology
- Topics
- Compactness, Hausdorff Spaces
- Status
- draft