R_D
Last-modified: 2013-04-19 (金) 13:08:01
Definitnion
- A topological space (X,τ) is said to be R_D if for x in X,
implies that
is closed. Here,
is the intersection of all open sets containing x.
Property
Reference
- Misra, D. N.; Dube, K. K., Some axioms weaker than the R0-axiom., (Serbo-Croatian summary), Glasnik Mat. Ser. III 8(28) (1973), 145-148.
- Tong, Jing Cheng, On the separation axiom R0. (Serbo-Croatian summary), Glas. Mat. Ser. III 18(38) (1983), no. 1, 149–152.
- 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.