# Completely regular space

### From Conservapedia

A topological space X is a **completely regular space** (or **T _{3½} 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.