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Remarque sur le théorème de M. Egoroff. - MaRDI portal

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Remarque sur le théorème de M. Egoroff. (Q578302)

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scientific article; zbMATH DE number 2560961
Language Label Description Also known as
English
Remarque sur le théorème de M. Egoroff.
scientific article; zbMATH DE number 2560961

    Statements

    Remarque sur le théorème de M. Egoroff. (English)
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    1928
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    Unter Annahme der Kontinuumhypothese beweist Verf.: Es gibt eine unendliche, konvergente Folge von (nicht meßbaren) Funktionen, welche in keiner nicht abzählbaren Menge der \(x\)-Werte gleichmäßig konvergiert. Der klassische Satz von \textit{Egoroff} kann also nicht für beliebige Funktionen erweitert werden.
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