On the group generated by quasi continuous functions (Q1194661)

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scientific article; zbMATH DE number 68376
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On the group generated by quasi continuous functions
scientific article; zbMATH DE number 68376

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    On the group generated by quasi continuous functions (English)
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    5 October 1992
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    Let \(X\) be a separable metrizable Baire space without isolated points. Every cliquish (every locally bounded cliquish function) \(f: X\to R\) is the sum of four (of three) quasicontinuous functions \(g\), \(u\), \(s\), \(t\). Moreover, if \(f\) is Lebesgue measurable (or in the Baire class \(\alpha\)) then the functions \(g\), \(u\), \(s\), \(t\) are the same.
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    quasicontinuity
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    cliquishness
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    oscillation
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    metric space
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    Baire space
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