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Sur les suites de fonctions rentrant dans la classification de M. W. H. Young. - MaRDI portal

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Sur les suites de fonctions rentrant dans la classification de M. W. H. Young. (Q1835119)

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scientific article; zbMATH DE number 2569726
Language Label Description Also known as
English
Sur les suites de fonctions rentrant dans la classification de M. W. H. Young.
scientific article; zbMATH DE number 2569726

    Statements

    Sur les suites de fonctions rentrant dans la classification de M. W. H. Young. (English)
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    1929
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    Verf. beweist: Dann und nur dann ist eine Funktion \(F(x)\) als Limes superior einer Funktionenfolge \(f_m(x)\) darstellbar, deren sämtliche \(f_m(x)\) von einer (\textit{Baire}schen) Klasse kleiner als \(\alpha\) sind, wenn \(F(x)\) höchstens von der Klasse \(\alpha + 1\) ist. Aus diesem Satz werden einige Folgerungen gezogen.
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    Identifiers