completely normal

Let X be a topological spaceMathworldPlanetmath. X is said to be if whenever A,BX with AB¯=A¯B=, then there are disjoint open sets U and V such that AU and BV.

Equivalently, a topological space X is if and only if every subspaceMathworldPlanetmath is normal.

Title completely normalPlanetmathPlanetmath
Canonical name CompletelyNormal
Date of creation 2013-03-22 12:13:51
Last modified on 2013-03-22 12:13:51
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 7
Author Mathprof (13753)
Entry type Definition
Classification msc 54-00
Synonym complete normality
Related topic NormalTopologicalSpace