*Definition [#a66b730e]
-A topological space (X,τ) is said to be R*_D if for every x∈X, either {x}' is closed or {x}' does not contain a non-empty closed sed.

*Property [#nf2467bb]
-R*_D + [[T_R]] = [[T_D]].
-R*_D ⇒ [[R*_UD]].
-R*_D ⇒ [[R_D]].

*Reference [#n430796e]
-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.