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A [[topological space]] X is a '''completely regular space''' (or '''T<sub>3½</sub> space''') if singleton sets are closed in X and any point x in X and any closed subset B of X not containing x can be seperated by a [[continuous function]].
A [[topological space]] X is a '''completely regular space''' (or '''T<sub>3½</sub> space''') if singleton sets are closed in X and any point x in X and any closed subset B of X not containing x can be separated by a [[continuous function]].
The subspace of a completely regular space is a completely regular space; the product of 2 completely regular spaces is a completely regular space. Every subspace of a [[normal space]] is a completely regular space.
The subspace of a completely regular space is a completely regular space; the product of 2 completely regular spaces is a completely regular space. Every subspace of a [[normal space]] is a completely regular space.
[[Category:Topology]]
[[Category:Topology]]