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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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A nonhomogeneity property of $\sigma$-ideals
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by Karel Prikry
Proc. Amer. Math. Soc. 123 (1995), 2861-2865
DOI: https://doi.org/10.1090/S0002-9939-1995-1273516-4

Abstract:

The object of this note is to prove a theorem of P. Chernoff and R. Solovay concerning a structural property of ${\omega _1}$ -saturated ideals. Their proof used Boolean-valued models; the present proof does not use any specialized tools of mathematical logic.
References
    P. Chernoff and R. Solovay (to appear).
  • Thomas Jech, Set theory, Pure and Applied Mathematics, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 506523
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2861-2865
  • MSC: Primary 03E05; Secondary 03E55, 04A20, 06E10, 28A05, 28E15
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1273516-4
  • MathSciNet review: 1273516