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
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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