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Applications of the zero-one law to problems connnected with Cauchy's functional equation - MaRDI portal

Applications of the zero-one law to problems connnected with Cauchy's functional equation (Q1823406)

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scientific article; zbMATH DE number 4115184
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Applications of the zero-one law to problems connnected with Cauchy's functional equation
scientific article; zbMATH DE number 4115184

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    Applications of the zero-one law to problems connnected with Cauchy's functional equation (English)
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    1989
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    Results about the set \(V_ 0\) are presented on the basis of a certain so-called ``zero-one law'', which is then shown to be equivalent to Smítal's lemma [cf. \textit{M. Kuczma} and \textit{J. Smítal}, ibid. 14, 421-428 (1976; Zbl 0326.39007)].
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    Cauchy's functional equation
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    zero-one law
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    Smítal's lemma
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