# 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 CompactlyGenerated 2013-03-22 12:16:00 2013-03-22 12:16:00 RevBobo (4) RevBobo (4) 5 RevBobo (4) Definition msc 54E99