soft normal

Last-modified: 2012-02-13 (月) 23:09:08

Definition

  • Let (X, T, E) be a soft topological space over X, (F , E) and (G , E) be soft closed sets over X such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%28F%2cE%29%5ccap%28G%2cE%29=%5cemptyset%20%5c%5d%7d%25.png . If there exist soft open sets (F_1 , E) and (F_2 , E) such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%28F%2cE%29%5cwidetilde%7b%5csubset%7d%28F_1%2cE%29%20%5c%5d%7d%25.png , imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%28G%2cE%29%5cwidetilde%7b%5csubset%7d%28F_2%2cE%29%20%5c%5d%7d%25.png and imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%28F_1%2cE%29%5ccap%28F_2%2cE%29=%5cemptyset%20%5c%5d%7d%25.png , then (X, T, E) is called a soft normal space.

Remark

Reference

  • Shabir Muhammad, Naz Munazza, On soft topological spaces. (English summary), Comput. Math. Appl. 61 (2011), no. 7, 1786-1799.