Perfect map: Difference between revisions

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==Definition==
==Definition==


A [[continuous map]] between [[topological space]]s is termed a '''perfect map''' if the inverse image of any point in the image space, is a [[compact space|compact subset]] of the domain space.
A [[continuous map]] between [[topological space]]s is termed a '''perfect map''' if it is both [[proper map|proper]] and [[separated map|separated]].


==Relation with other properties==
==Relation with other properties==


===Stronger properties===
===Related properties===


* [[k-map]]
* [[Proper map]]
* [[Proper map]]
===Weaker properties===
* [[s-map]]

Latest revision as of 19:57, 11 May 2008

This article defines a property of continuous maps between topological spaces

Definition

A continuous map between topological spaces is termed a perfect map if it is both proper and separated.

Relation with other properties

Related properties