# proper map

Definition Suppose $X$ and $Y$ are topological spaces, and $f$ is a map $f:X\to Y$. 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 ProperMap 2013-03-22 13:59:49 2013-03-22 13:59:49 matte (1858) matte (1858) 6 matte (1858) Definition msc 54C10 msc 54-00 PolynomialFunctionIsAProperMap