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R_T

Last-modified: 2011-01-19 (水) 23:00:42

Definition Edit

  • A topological space (X,τ) is R_T iff for each x in X, both imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5chat%7b%5c%7bx%5c%7d%7d%5csetminus%5coverline%7b%5c%7bx%5c%7d%7d%5cmbox%7b%20and%20%7d%5coverline%7b%5c%7bx%5c%7d%7d%5csetminus%5chat%7b%5c%7bx%5c%7d%7d%20%5c%5d%7d%25.png are degenerate. Here, imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5chat%7b%5c%7bx%5c%7d%7d%20%5c%5d%7d%25.png is the intersection of all open sets containing x.

Property Edit

  • R_T ⇒ R_D.
  • R_T ⇒ R_YS?.

Reference Edit

  • Tong, Jing Cheng, On the separation axiom R0. (Serbo-Croatian summary), Glas. Mat. Ser. III 18(38) (1983), no. 1, 149–152.