R_{YS}

Last-modified: 2013-04-19 (金) 13:10:33

Definition

  • A topological space (X,τ) is R_{YS} iff for x,y in X, imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5coverline%7b%5c%7bx%5c%7d%7d%5cneq%5coverline%7b%5c%7by%5c%7d%7d%20%5c%5d%7d%25.png implies imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5coverline%7b%5c%7bx%5c%7d%7d%5ccap%5coverline%7b%5c%7by%5c%7d%7d=%5cemptyset%2c%5c%20%5c%7bx%5c%7d%5cmbox%7b%20or%20%7d%5c%7by%5c%7d%20%5c%5d%7d%25.png .

Property

Reference

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