<abstract xmlns="http://www.w3.org/1999/xhtml"> 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.</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.

Generalized oscillations for generalized continuities

Mathematical Institute, Slovak Academy of Sciences, Greˇs´akova 6, SK–040-01 Koˇsice, SLOVAKIA

Tatra Mountains Mathematical Publications

{"article-title":"Generalized oscillations for generalized continuities"}

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) =...

Generalized oscillations for generalized continuities

Publié en ligne: 13 nov. 2012

Pages: 119 - 125

DOI: https://doi.org/10.2478/v10127-011-0031-3

Mots clés
generalized topology, generalized continuity, generalized oscillation

This content is open access.

Generalized oscillations for generalized continuities

Publié en ligne: 13 nov. 2012

Pages: 119 - 125

DOI: https://doi.org/10.2478/v10127-011-0031-3

Mots clésgeneralized topology, generalized continuity, generalized oscillation

This content is open access.

Mots clés
generalized topology, generalized continuity, generalized oscillation