Oscillation and \(\omega\)-primitives
The authors investigate topological spaces \(X\) such that for upper semicontinuous functions \(f:X \to [0,\infty)\) (or \(f:X \to [0,\infty ]\)) there are \(\omega \)-primitives \(F:X \to [0,\infty)\) (or \(F:X \to [0,\infty ]\)) whose oscillations equal \(f\) on \(X\). Moreover, convergences of sequences of \(\omega\)-primitives are discussed.
scientific article; zbMATH DE number 1848870