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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On weakly stationary sets
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by Qi Feng PDF
Proc. Amer. Math. Soc. 105 (1989), 727-735 Request permission

Abstract:

We consider whether every weakly stationary set is stationary. We show that if ${0^\# }$ does not exist then every weakly stationary set is stationary. Also there is a weakly stationary nonstationary set on $[\omega _2]^{\aleph _1}$ if and only if Chang’s conjecture holds. From a $\omega _1$-Erdös cardinal, we get a model in which $2^{{\aleph _0}} > \omega _2$ and all the subsets of $2^{\aleph _0}$ of order type $\omega _1$ form a weakly stationary set which is nonstationary.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 105 (1989), 727-735
  • MSC: Primary 03E05; Secondary 03E35, 03E55
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0946635-4
  • MathSciNet review: 946635