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 Algebraic Geometry.

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