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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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On dense subsets of the measure algebra
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by J. Cichoń, A. Kamburelis and J. Pawlikowski
Proc. Amer. Math. Soc. 94 (1985), 142-146
DOI: https://doi.org/10.1090/S0002-9939-1985-0781072-3
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Abstract:

We show that the minimal cardinality of a dense subset of the measure algebra is the same as the minimal cardinality of a base of the ideal of Lebesgue measure zero subsets of the real line.
References
    J. Cichoń, On bases of ideals and boolean algebras, Proc. Open Days for Model Theory and Set Theory (Jadwisin, 1981), edited by W. Guzicki, W. Marek, A. Pelc and C. Rauszer. J. G. Oxtoby, Measure and category, Springer, Berlin, 1970.
  • Roman Sikorski, Boolean algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 25, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1960. MR 0126393
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Bibliographic Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 94 (1985), 142-146
  • MSC: Primary 04A15; Secondary 06F99, 28A05
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0781072-3
  • MathSciNet review: 781072