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operation

Last-modified: 2011-08-21 (日) 12:06:12

Definition Edit

  • An operation γ on a topology τ on X is a mapping γ: τ → P(X), such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20V%5csubset%20V%5e%5cgamma%20%5c%5d%7d%25.png for each V ∈ τ, where P(X) is the power set of X and imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20V%5e%5cgamma%20%5c%5d%7d%25.png denotes the value of γ at V .

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.