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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Stable Kneser hypergraphs and ideals in $\mathbb {N}$ with the Nikodym property
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by Noga Alon, Lech Drewnowski and Tomasz Łuczak
Proc. Amer. Math. Soc. 137 (2009), 467-471
DOI: https://doi.org/10.1090/S0002-9939-08-09588-9
Published electronically: August 19, 2008

Abstract:

We use stable Kneser hypergraphs to construct ideals in $\mathbb {N}$ which are not nonatomic yet have the Nikodým property.
References
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Bibliographic Information
  • Noga Alon
  • Affiliation: Schools of Mathematics and Computer Science, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel – and – Institute for Advanced Study, Princeton, New Jersey 08540
  • MR Author ID: 25060
  • Email: nogaa@tau.ac.il
  • Lech Drewnowski
  • Affiliation: Faculty of Mathematics and Computer Science, A.  Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland
  • Email: drewlech@amu.edu.pl
  • Tomasz Łuczak
  • Affiliation: Faculty of Mathematics and Computer Science, A.  Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland
  • Email: tomasz@amu.edu.pl
  • Received by editor(s): January 22, 2008
  • Published electronically: August 19, 2008
  • Additional Notes: The first author is supported by the Israel Science Foundation, by a USA-Israeli BSF grant, by the Hermann Minkowski Minerva Center for Geometry at Tel Aviv University, and by the Von Neumann Fund
    The third author is supported by the Foundation for Polish Science
  • Communicated by: Jim Haglund
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 467-471
  • MSC (2000): Primary 05A17, 05C15, 11B05
  • DOI: https://doi.org/10.1090/S0002-9939-08-09588-9
  • MathSciNet review: 2448565