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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$\Pi _{2}^{1}$ sets and $\Pi _{2}^{1}$ singletons
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by Leo Harrington
Proc. Amer. Math. Soc. 52 (1975), 356-360
DOI: https://doi.org/10.1090/S0002-9939-1975-0373896-5

Abstract:

The following are equivalent: (a) every real is constructible; (b) every nonempty $\prod _2^1$ set of reals contains a $\prod _2^1$ singleton. (Implication $({\text {a}}) \Rightarrow ({\text {b}})$ is due solely to H. Friedman.)
References
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Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 52 (1975), 356-360
  • MSC: Primary 02K30
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0373896-5
  • MathSciNet review: 0373896