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Generalized oscillations for generalized continuities

ABSTRACT Let (X, g) be a generalized topological space, (Y, d) a metric one and f : X → Y a function. We can define a generalized oscillation of f at x ∊ X as kgf (x) = inf{diamf(A) : A ∊ g, x ∊ A}. We discuss some properties of the generalized oscillation.