Closed and surjective implies quotient: Difference between revisions
(New page: ==Statement== Any surjective continuous map of topological spaces which is also closed, is a quotient map. ==Applications== This is used to prove that [[surje...) |
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Latest revision as of 19:40, 11 May 2008
Statement
Any surjective continuous map of topological spaces which is also closed, is a quotient map.
Applications
This is used to prove that any surjective map from a compact space to a Hausdorff space is a quotient map.