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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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Provable $\Pi ^ 1_ 2$-singletons
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by S. D. Friedman
Proc. Amer. Math. Soc. 123 (1995), 2873-2874
DOI: https://doi.org/10.1090/S0002-9939-1995-1257104-1

Abstract:

In this note we describe a subtheory T of $ZFC + {0^\# }$ exists such that T is consistent with $V = L$ and there is a T-provable $\Pi _2^1$-singleton $R,0{ < _L}R{ < _L}{0^\# }$.
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2873-2874
  • MSC: Primary 03E45; Secondary 03D60, 03E15, 03E55
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1257104-1
  • MathSciNet review: 1257104