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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 Axiom is consistent with the existence of nowhere trivial automorphisms
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by Saharon Shelah and Juris Steprāns PDF
Proc. Amer. Math. Soc. 130 (2002), 2097-2106 Request permission


Martin’s Axiom does not imply that all automorphisms of ${\mathcal P}(\mathbb {N})/ [\mathbb {N}]^{<\aleph _0}$ are somewhere trivial. An alternate method for obtaining models where every automorphism of ${\mathcal P}(\mathbb {N})/[\mathbb {N}]^{<\aleph _0}$ is somewhere trivial is explained.
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Additional Information
  • Saharon Shelah
  • Affiliation: Department of Mathematics, Rutgers University, Hill Center, Piscataway, New Jersey
  • Address at time of publication: Institute of Mathematics, Hebrew University, Givat Ram, Jerusalem 91904, Israel
  • MR Author ID: 160185
  • ORCID: 0000-0003-0462-3152
  • Email:
  • Juris Steprāns
  • Affiliation: Department of Mathematics, York University, 4700 Keele Street, Toronto, Ontario, Canada M3J 1P3
  • Email:
  • Received by editor(s): October 12, 2000
  • Received by editor(s) in revised form: January 12, 2001
  • Published electronically: December 27, 2001
  • Additional Notes: The research of the first author was supported by The Israel Science Foundation founded by the Israel Academy of Sciences and Humanities, and by NSF grant No. NSF-DMS97-04477. Research of the second author for this paper was partially supported by NSERC of Canada. This is paper number 735 in the first author’s personal listing
  • Communicated by: Alan Dow
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 2097-2106
  • MSC (1991): Primary 03E50, 03E35
  • DOI:
  • MathSciNet review: 1896046