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γ-open

Last-modified: 2011-08-22 (月) 20:12:16

Definition Edit

  • A subset A of X with an operation γ on τ is called γ-open if for each x ∈ A, there exists an open set U such that x ∈ U and imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20U%5e%5cgamma%5csubset%20A%20%5c%5d%7d%25.png.

Remark Edit

  • imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20V%5e%5cgamma%20%5c%5d%7d%25.png denotes the value of γ at V ∈ τ .

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.