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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Axiom of choice and complementation
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by Radu Diaconescu
Proc. Amer. Math. Soc. 51 (1975), 176-178
DOI: https://doi.org/10.1090/S0002-9939-1975-0373893-X

Abstract:

It is shown that an intuitionistic model of set theory with the axiom of choice has to be a classical one.
References
  • F. William Lawvere, Introduction, Toposes, algebraic geometry and logic (Conf., Dalhousie Univ., Halifax, N.S., 1971) Lecture Notes in Math., Vol. 274, Springer, Berlin, 1972, pp. 1–12. MR 0376798
  • M. Tierney, Axiomatic sheaf theory: some constructions and applications, Categories and commutative algebra (Centro Internaz. Mat. Estivo (C.I.M.E.), III Ciclo, Varenna, 1971) Edizioni Cremonese, Rome, 1973, pp. 249–326. MR 0354800
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Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 51 (1975), 176-178
  • MSC: Primary 02K20; Secondary 02K10, 18B05
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0373893-X
  • MathSciNet review: 0373893