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C_0

Last-modified: 2013-04-19 (金) 13:22:37

Definition Edit

  • A topological space (X,τ) is said to be C_0 if for every x∈X, {x}' is not union of non-empty closed sets.

Property Edit

  • C_0 + T_0 = T_1.
  • C_0 ⇒ R_D.
  • C_0 ⇒ T_1∨(∖T_{UD})?.

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.