A topological spaceMathworldPlanetmath 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 compactPlanetmathPlanetmath must be a Hausdorff space. This distinction occurs for example in Robin Hartshorne’s book Algebraic GeometryMathworldPlanetmathPlanetmathPlanetmath.

Title quasi-compact
Canonical name Quasicompact
Date of creation 2013-03-22 12:15:31
Last modified on 2013-03-22 12:15:31
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 7
Author Wkbj79 (1863)
Entry type Definition
Classification msc 54-00
Synonym quasicompact
Related topic Compact