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C_R

Last-modified: 2011-06-19 (日) 12:40:18

Definition Edit

  • A topological space (X,τ) is said to be C_R if for every x∈X, {x}' does not contain a non-empty closed set.

Proposition Edit

  • A topological space (X,τ) is C_R iff it is a R_0 space.

Reference Edit

  • 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.