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# completely normal

*completely normal* if whenever $A,B\subseteq X$ with $A\cap\overline{B}=\overline{A}\cap B=\emptyset$, then there are disjoint open sets $U$ and $V$ such that $A\subseteq U$ and $B\subseteq V$.

Keywords:

topology

Related:

NormalTopologicalSpace

Synonym:

complete normality

Type of Math Object:

Definition

Major Section:

Reference

## Mathematics Subject Classification

54-00*no label found*

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