# quasi-compact

A topological space is called quasi-compact if every open cover of it has a finite subcover. The distinction compact spaces and quasi-compact spaces exists because some people insist that a space that is compact must be a Hausdorff space. This distinction occurs for example in Robin Hartshorne’s book .

Title quasi-compact Quasicompact 2013-03-22 12:15:31 2013-03-22 12:15:31 Wkbj79 (1863) Wkbj79 (1863) 7 Wkbj79 (1863) Definition msc 54-00 quasicompact Compact