compactly generated

A Hausdorff topological space $X$ is said to be compactly generated if for each $A\subset X$, $A$ is closed if and only if $A\cap C$ is closed for every compact $C\subset X$.

Title	compactly generated
Canonical name	CompactlyGenerated
Date of creation	2013-03-22 12:16:00
Last modified on	2013-03-22 12:16:00
Owner	RevBobo (4)
Last modified by	RevBobo (4)
Numerical id	5
Author	RevBobo (4)
Entry type	Definition
Classification	msc 54E99