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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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Martin’s maximum and weak square
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by James Cummings and Menachem Magidor PDF
Proc. Amer. Math. Soc. 139 (2011), 3339-3348 Request permission

Abstract:

We analyse the influence of the forcing axiom Martin’s Maximum on the existence of square sequences, with a focus on the weak square principle $\square _{\lambda , \mu }$.
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Additional Information
  • James Cummings
  • Affiliation: Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213
  • MR Author ID: 289375
  • ORCID: 0000-0002-7913-0427
  • Email: jcumming@andrew.cmu.edu
  • Menachem Magidor
  • Affiliation: Einstein Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem 91904, Israel
  • Email: menachem@math.huji.ac.il
  • Received by editor(s): April 21, 2010
  • Received by editor(s) in revised form: August 6, 2010
  • Published electronically: January 19, 2011
  • Additional Notes: The first author was partially supported by NSF grant DMS-0654046
    This work was done during a visit to the Institut Mittag-Leffler (Djursholm, Sweden).
  • Communicated by: Julia Knight
  • © Copyright 2011 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 3339-3348
  • MSC (2010): Primary 03E55, 03E57
  • DOI: https://doi.org/10.1090/S0002-9939-2011-10730-5
  • MathSciNet review: 2811288