Completely regular space
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A topological space X is a completely regular space (or T3½ 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.
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.
