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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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Rich sets
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by C. T. Chong PDF
Proc. Amer. Math. Soc. 80 (1980), 458-460 Request permission

Abstract:

Let ${(V = L)_\alpha }$ say that every bounded subset of $\alpha$ is an element of ${L_\alpha }$. We show that if ${(V = L)_\alpha }$, then every $X \subseteq \alpha$ of order-type $\alpha$ is rich, in the sense that every $\alpha$-degree above that of X is represented by a subset of X.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 80 (1980), 458-460
  • MSC: Primary 03D60; Secondary 03D30
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0581005-4
  • MathSciNet review: 581005