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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Height and width of superatomic Boolean algebras
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by Judy Roitman PDF
Proc. Amer. Math. Soc. 94 (1985), 9-14 Request permission

Abstract:

Cantor-Bendixson height and width of superatomic Boolean algebras is investigated and it is shown that (1) you don’t need a Canadian tree to construct an ${\omega _1}$-thin-thick superatomic Boolean algebra; (2) ${\mathbf {c}}$ can be very large and for all $\kappa < {\mathbf {c}}$ and all uncountable $\lambda ,\kappa < {\mathbf {c}}$, there are no $\kappa$-thin-very tall, $\lambda$-thin-tall, $\kappa$-very thin-thick, or $\lambda$-thin-thick superatomic Boolean algebras on $\kappa$.
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 94 (1985), 9-14
  • MSC: Primary 06E99; Secondary 03E35
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0781045-0
  • MathSciNet review: 781045