Urysohn space

Definition
A topological space $$X$$ is termed a Urysohn space if, for any two distinct points $$x,y \in X$$, there exist disjoint open subsets $$U \ni x, V \ni y $$ such that the closures <math\overline{U} and $$\overline{V}$$ are disjoint closed subsets of $$X$$.

Note that the term Urysohn space is also used for the somewhat stronger notion of functionally Hausdorff space. There is a terminological ambiguity here.