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== | ||
Revision as of 19:18, 17 December 2007
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.