Completely regular space
This is the current revision of Completely regular space as edited by JonathanG (talk | contribs) at 23:39, June 28, 2009. This URL is a permanent link to this version of this page.
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 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.