Regular space

 Regular space: A topological space is termed regular if all points are closed sets (the $$T_1$$ assumption), and, given a point and a closed set not containing it, there are disjoint open sets containing the point and closed set respectively.

In some definitions, the $$T_1$$ assumption is skipped.

Related terms: regularity (the property of a topological space being regular)

Primary subject wiki entry: Topospaces:Regular space

Also located at: Regular space, RegularSpace, Mathworld:RegularSpace