proper map

Definition Suppose X and Y are topological spacesMathworldPlanetmath, and f is a map f:XY. Then f is a proper map if the inverse image of every compact subset in Y of is a compact set in X.

Title proper map
Canonical name ProperMap
Date of creation 2013-03-22 13:59:49
Last modified on 2013-03-22 13:59:49
Owner matte (1858)
Last modified by matte (1858)
Numerical id 6
Author matte (1858)
Entry type Definition
Classification msc 54C10
Classification msc 54-00
Related topic PolynomialFunctionIsAProperMap