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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 note on Borel equivalence relations
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by Alain Louveau and Boban Veličković PDF
Proc. Amer. Math. Soc. 120 (1994), 255-259 Request permission

Abstract:

We prove that the class of Borel equivalence relations, under the order of Borel reducibility, is a very complicated structure, by embedding into it the partial order of inclusion modulo finite sets on $\mathcal {P}(\omega )$.
References
    W. Just, More incomparable ideals, manuscript. A. Kechris, Lecture notes on equivalence relations, manuscript. H. Woodin, personal communication.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 120 (1994), 255-259
  • MSC: Primary 54H05; Secondary 04A15
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1169042-2
  • MathSciNet review: 1169042