continuous proper map

Let X,Y be topological spacesMathworldPlanetmath and p:XY a continuous mapMathworldPlanetmath. The map p is called continuous proper if for every compactPlanetmathPlanetmath KY the preimage p-1(K) is compact in X.

Title continuous proper map
Canonical name ContinuousProperMap
Date of creation 2013-03-22 13:34:22
Last modified on 2013-03-22 13:34:22
Owner CWoo (3771)
Last modified by CWoo (3771)
Numerical id 4
Author CWoo (3771)
Entry type Definition
Classification msc 54-00
Synonym continuous proper function
Synonym continuous proper