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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A nonhomogeneity property of $ \sigma$-ideals


Author: Karel Prikry
Journal: Proc. Amer. Math. Soc. 123 (1995), 2861-2865
MSC: Primary 03E05; Secondary 03E55, 04A20, 06E10, 28A05, 28E15
MathSciNet review: 1273516
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] P. Chernoff and R. Solovay (to appear).
  • [2] Thomas Jech, Set theory, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. Pure and Applied Mathematics. MR 506523 (80a:03062)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1273516-4
PII: S 0002-9939(1995)1273516-4
Keywords: Ideal, $ {\omega _1}$-complete, $ {\omega _1}$-saturated, pure
Article copyright: © Copyright 1995 American Mathematical Society