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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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A new omitting types theorem
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by Charles Steinhorn PDF
Proc. Amer. Math. Soc. 89 (1983), 480-486 Request permission

Abstract:

An omitting types theorem for countable models of superstable theories containing an infinite set of indiscernibles is proved. Various corollaries and applications are given.
References
  • Steven Buechler, Kueker’s conjecture for superstable theories, J. Symbolic Logic 49 (1984), no. 3, 930–934. MR 758944, DOI 10.2307/2274146
  • C. C. Chang and H. J. Keisler, Model theory, North-Holland, Amsterdam, 1973.
  • M. Makkai, A survey of basic stability theory, with particular emphasis on orthogonality and regular types, Israel J. Math. 49 (1984), no. 1-3, 181–238. MR 788268, DOI 10.1007/BF02760649
  • Leo Marcus, A minimal prime model with an infinite set of indiscernibles, Israel J. Math. 11 (1972), 180–183. MR 319699, DOI 10.1007/BF02762619
  • Saharon Shelah, Classification theory and the number of nonisomorphic models, Studies in Logic and the Foundations of Mathematics, vol. 92, North-Holland Publishing Co., Amsterdam-New York, 1978. MR 513226
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 89 (1983), 480-486
  • MSC: Primary 03C45; Secondary 03C15, 03C50
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0715871-9
  • MathSciNet review: 715871