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soft regular

Last-modified: 2012-02-13 (月) 23:09:34

Definition Edit

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

Remark Edit

Reference Edit

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