Delta-normal space: Difference between revisions

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===Symbol-free definition===
===Symbol-free definition===


A [[topological space]] is said to be <math>\delta</math>-normal if given any two disjoint [[closed subset]]s in it, there are disjoint <math>G_\delta</math> sets containing each of them.
A [[topological space]] is said to be <math>\delta</math>-normal if it is [[T1 space|T1]] and, given any two disjoint [[closed subset]]s in it, there are disjoint <math>G_\delta</math> sets containing each of them.


==Relation with other properties==
==Relation with other properties==

Latest revision as of 19:43, 11 May 2008

This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces

This is a variation of normality. View other variations of normality

Definition

Symbol-free definition

A topological space is said to be -normal if it is T1 and, given any two disjoint closed subsets in it, there are disjoint sets containing each of them.

Relation with other properties

Stronger properties