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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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by Martin Goldstern, Diego Alejandro Mejía and Saharon Shelah PDF
Proc. Amer. Math. Soc. 144 (2016), 4025-4042 Request permission

Abstract:

Using a finite support iteration of ccc forcings, we construct a model of $\aleph _1<\mathrm {add}(\mathcal {N})<\mathrm {cov}(\mathcal {N})<\mathfrak {b}< \mathrm {non}(\mathcal {M})<\mathrm {cov}(\mathcal {M})=\mathfrak {c}$.
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Additional Information
  • Martin Goldstern
  • Affiliation: Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Wiedner Hauptstrasse 8-10/104, 1040 Vienna, Austria
  • Email: goldstern@tuwien.ac.at
  • Diego Alejandro Mejía
  • Affiliation: Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Wiedner Hauptstrasse 8-10/104, 1040 Vienna, Austria
  • Address at time of publication: Department of Mathematics, Shizuoka University, Ohya 836, Shizuoka, 422-8529 Japan
  • MR Author ID: 1022905
  • Email: diego.mejia@shizuoka.ac.jp
  • Saharon Shelah
  • Affiliation: Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, The hebrew University of Jerusalem, Jerusalem, 91904, Israel — and — Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08854
  • MR Author ID: 160185
  • ORCID: 0000-0003-0462-3152
  • Email: shlhetal@math.huji.ac.il
  • Received by editor(s): April 19, 2015
  • Received by editor(s) in revised form: November 17, 2015
  • Published electronically: April 27, 2016
  • Additional Notes: This work was partially supported by European Research Council grant 338821. The first and second authors were supported by the Austrian Science Fund (FWF) P24725-N25 (first author), P23875-N13 and I1272-N25 (second author) and they were partially supported by the National Science Foundation under grant DMS-1101597. Publication 1066 on the third author’s list.
  • Communicated by: Mirna Džamonja
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 4025-4042
  • MSC (2010): Primary 03E17, 03E35, 03E40
  • DOI: https://doi.org/10.1090/proc/13161
  • MathSciNet review: 3513558