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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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Perfectly meager sets and universally null sets
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by Tomek Bartoszynski and Saharon Shelah PDF
Proc. Amer. Math. Soc. 130 (2002), 3701-3711 Request permission

Abstract:

We will show that there is no $\operatorname {\mathsf {ZFC}}$ example of a set distinguishing between universally null and perfectly meager sets.
References
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Additional Information
  • Tomek Bartoszynski
  • Affiliation: Department of Mathematics and Computer Science, Boise State University, Boise, Idaho 83725
  • Email: tomek@math.boisestate.edu
  • Saharon Shelah
  • Affiliation: Department of Mathematics, Hebrew University, Jerusalem, Israel – and – Department of Mathematics, Rutgers University, New Brunswick, New Jersey
  • MR Author ID: 160185
  • ORCID: 0000-0003-0462-3152
  • Email: shelah@math.huji.ac.il
  • Received by editor(s): April 26, 2001
  • Received by editor(s) in revised form: July 16, 2001
  • Published electronically: April 22, 2002
  • Additional Notes: The first author was partially supported by NSF grant DMS 9971282 and the Alexander von Humboldt Foundation
    The second author was partially supported by the Israel Science Foundation. Publication 732
  • Communicated by: Alan Dow
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 3701-3711
  • MSC (2000): Primary 03E17
  • DOI: https://doi.org/10.1090/S0002-9939-02-06465-1
  • MathSciNet review: 1920051