*Definition [#sc89e251]
-A topological space (X,τ) is said to be T_R if for every x∈X, either {x}' is empty or {x}' contains a non-empty closed set.

*Property [#c5f9470b]
-A topological space (X,τ) is a T_R space iff any non-empty closed subset of X contains a closed singleton set.
-T_R + [[R_0]] = [[T_1]].


*Reference [#w5928cce]
-Guia, Josep, ''Essentially T_D and essentially T_UD spaces.'', Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.) 32(80) (1988), no. 3, 227-233.