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soft T_1

Last-modified: 2012-02-13 (月) 18:41:05

Definition Edit

  • Let (X, T, E) be a soft topological space over X and x, y ∈ X such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cneq%20y%20%5c%5d%7d%25.png. If there exist soft open sets (F , E) and (G , E) such that x ∈ (F , E) and imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20y%5cnotin%28F%2cE%29%20%5c%5d%7d%25.png and y ∈ (G , E) and imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cnotin%28G%2cE%29%20%5c%5d%7d%25.png, then (X, T, E) is called a soft T_1-space.

Property Edit

Reference Edit

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