soft semi T_1

Last-modified: 2012-04-04 (水) 21:40:27

Definition

A soft topological space (X, τ, E) is said to be a soft semi T_1 － space if for two distinct soft points (F, E), (G, E) ∈ imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cwidetilde%7bX%7d%20%5c%5d%7d%25.png , there exist soft semiopen sets (H, E) and(K, E) such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%28F%2c%20E%29%5c%2c%5cwidetilde%7b%5cin%7d%5c%2c%28H%2cE%29%5cmbox%7b%20and%20%7d%28G%2c%20E%29%5cwidetilde%7b%5cnotin%7d%28H%2c%20E%29%20%5c%5d%7d%25.png and imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%28G%2c%20E%29%5c%2c%5cwidetilde%7b%5cin%7d%5c%2c%28K%2cE%29%5cmbox%7b%20and%20%7d%28F%2c%20E%29%5c%2c%5cwidetilde%7b%5cnotin%7d%5c%2c%28K%2c%20E%29%20%5c%5d%7d%25.png .

Property

Reference

  • J. Mahanta, P. K. Das ,On soft topological space via semiopen and semiclosed soft sets, arXiv math.GN 1203.4133v1.