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γ-βT_0

Last-modified: 2011-08-20 (土) 11:31:25

Definition Edit

  • A topological space (X,τ) with an operation γ on τ is called γ-βT_0 if and only if for each pair of distinct points x, y in X, there exists an γ-β-open set U such that either x ∈ U and imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20y%5cnotin%20U%5cmbox%7b%20or%20%7dx%5cnotin%20U%20%5c%5d%7d%25.png and y ∈ U.

Property Edit

  • A topological space (X,τ) with an operation γ on τ is
    γ-βT_0 if and only if for every pair of distinct points x, y of X, imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cgamma%5c%2c%5cmbox%7b-%7d%5c%2c%5cbeta%5c%2ccl%28%5c%7bx%5c%7d%29%5cneq%5cgamma%5c%2c%5cmbox%7b-%7d%5c%2c%5cbeta%5c%2ccl%28%5c%7by%5c%7d%29%20%5c%5d%7d%25.png.

Reference Edit

  • Basu, C. K.; Afsan, B. M. Uzzal; Ghosh, M. K., A class of functions and separation axioms with respect to an operation. (English summary), Hacet. J. Math. Stat. 38 (2009), no. 2, 103–118.