Oscillation and \(\omega\)-primitives (Q1852407)
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scientific article; zbMATH DE number 1848870
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation and \(\omega\)-primitives |
scientific article; zbMATH DE number 1848870 |
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Oscillation and \(\omega\)-primitives (English)
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5 January 2003
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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.
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upper semicontinuity
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oscillation
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massive spaces
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quasi-uniform convergence
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\(\omega\)-primitives
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