Corollary 1
Tag 0B8D, permanent. Cite it as [Bourbaki, Tag 0B8D].
General Topology, chapter I, § 9. Compact spaces and locally compact spaces
Let be a continuous mapping of a topological space into a Hausdorff space . Then the image under of any quasi-compact (resp. relatively quasi-compact) set in is a compact (resp. relatively compact) set in .
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
Cited by
- Proposition 10, § 10
- Proposition 9, § 10
- Proposition 14, § 9
- Corollary 2, § 9
- Corollary 4, § 9
- Theorem 4 (Alexandroff), § 9
- Proposition 2, § 4
- Proposition 2, § 3
- Theorem 2, § 3
Cites
Nothing.