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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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Binary simple homogeneous structures are supersimple with finite rank
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by Vera Koponen PDF
Proc. Amer. Math. Soc. 144 (2016), 1745-1759 Request permission

Abstract:

Suppose that $\mathcal {M}$ is an infinite structure with finite relational vocabulary such that every relation symbol has arity at most 2. If $\mathcal {M}$ is simple and homogeneous, then its complete theory is supersimple with finite SU-rank which cannot exceed the number of complete 2-types over the empty set.
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Additional Information
  • Vera Koponen
  • Affiliation: Department of Mathematics, Uppsala University, Box 480, 75106 Uppsala, Sweden
  • MR Author ID: 679224
  • Email: vera@math.uu.se
  • Received by editor(s): June 30, 2014
  • Received by editor(s) in revised form: March 6, 2015, and April 7, 2015
  • Published electronically: August 12, 2015
  • Communicated by: Mirna Džamonja
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 1745-1759
  • MSC (2010): Primary 03C10, 03C45, 03C50, 03C52, 03C68
  • DOI: https://doi.org/10.1090/proc/12828
  • MathSciNet review: 3451250