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Last-modified: 2011-06-19 (日) 12:50:30

Definition Edit

  • 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 Edit

  • 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 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.