Generalized oscillations for generalized continuities

Ján Borsík

doi:10.2478/v10127-011-0031-3

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Generalized oscillations for generalized continuities

Tatra Mountains Mathematical Publications

Volume 49 (2011): Issue 1 (August 2011)

By: Ján Borsík

Open Access

|Nov 2012

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 k^g_f (x) = inf{diamf(A) : A ∊ g, x ∊ A}. We discuss some properties of the generalized oscillation.

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