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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Ensembles de Riesz
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by Valérie Tardivel PDF
Trans. Amer. Math. Soc. 305 (1988), 167-174 Request permission

Abstract:

Let $G$ be an abelian countable discrete group. We show that there exists no positive characterization of Riesz subsets of $G$, by proving that the Riesz subsets of $G$ form a coanalytic non-Borel subset of ${2^G}$.
References
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 305 (1988), 167-174
  • MSC: Primary 43A46; Secondary 04A15
  • DOI: https://doi.org/10.1090/S0002-9947-1988-0920152-3
  • MathSciNet review: 920152