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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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Decreasing chains without lower bounds in the Rudin-Frolík order
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by Eva Butkovičová PDF
Proc. Amer. Math. Soc. 109 (1990), 251-259 Request permission

Abstract:

We prove that for every uncountable cardinal less than continuum there exists a chain in the Rudin-Frolík order of $\beta \omega - \omega$ isomorphic to the inverse order of this cardinal and without a lower bound.
References
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 109 (1990), 251-259
  • MSC: Primary 04A20; Secondary 54A25
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1007490-8
  • MathSciNet review: 1007490