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

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Publication:1823406
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DOI10.1007/BF01839494zbMath0681.39004MaRDI QIDQ1823406

Miljenko Crnjac, Harry I. Miller, Boško Živaljević

Publication date: 1989

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137315


zbMATH Keywords

zero-one lawCauchy's functional equationSmítal's lemma


Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Functional equations and inequalities (39B99)




Cites Work

  • A short zero-one law proof of a result of Abian
  • On measures connected with the Cauchy equation
  • On some properties of Erdös sets
  • Some remarks on convex functions
  • On discontinuous additive functions
  • Non-Measurable Sets and the Equation f(x + y) = f(x) + f(y)
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