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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Saturated null and meager ideal
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by Ashutosh Kumar and Saharon Shelah PDF
Trans. Amer. Math. Soc. 371 (2019), 4475-4491 Request permission

Abstract:

We prove that the meager ideal and the null ideal could both be somewhere $\aleph _1$-saturated.
References
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Additional Information
  • Ashutosh Kumar
  • Affiliation: Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J. Safra Campus, Givat Ram, Jerusalem 91904, Israel
  • MR Author ID: 1070394
  • Email: akumar@math.huji.ac.il
  • Saharon Shelah
  • Affiliation: Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J. Safra Campus, Givat Ram, Jerusalem 91904, Israel; and Department of Mathematics, Rutgers, The State University of New Jersey, Hill Center–Busch Campus, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019
  • MR Author ID: 160185
  • ORCID: 0000-0003-0462-3152
  • Email: shelah@math.huji.ac.il
  • Received by editor(s): February 12, 2017
  • Received by editor(s) in revised form: May 4, 2018, August 21, 2018, and September 10, 2018
  • Published electronically: November 2, 2018
  • Additional Notes: The first author is supported by a Postdoctoral Fellowship at the Einstein Insititute of Mathematics funded by European Research Council grant no. 338821
    The second author is partially supported by European Research Council grant no. 338821, publication no. 1104
  • © Copyright 2018 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 371 (2019), 4475-4491
  • MSC (2010): Primary 03E35; Secondary 28A05, 03E55
  • DOI: https://doi.org/10.1090/tran/7702
  • MathSciNet review: 3917229