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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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Small subsets of the reals and tree forcing notions
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by Marcin Kysiak and Tomasz Weiss PDF
Proc. Amer. Math. Soc. 132 (2004), 251-259 Request permission

Abstract:

We discuss the question of which properties of smallness in the sense of measure and category (e.g. being a universally null, perfectly meager or strongly null set) imply the properties of smallness related to some tree forcing notions (e.g. the properties of being Laver-null or Miller-null).
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Additional Information
  • Marcin Kysiak
  • Affiliation: Institute of Mathematics of the Polish Academy of Sciences, ul. Śniadeckich 8, 00-950 Warszawa, Poland
  • Email: mkysiak@impan.gov.pl
  • Tomasz Weiss
  • Affiliation: Institute of Mathematics, WSRP, 08-110 Siedlce, Poland
  • MR Author ID: 631175
  • ORCID: 0000-0001-9201-7202
  • Email: weiss@wsrp.siedlce.pl
  • Received by editor(s): June 11, 2002
  • Received by editor(s) in revised form: September 3, 2002
  • Published electronically: May 28, 2003
  • Additional Notes: The first author is a Ph.D. student at the Institute of Mathematics of the Polish Academy of Sciences. A part of this work is likely to be included in his doctorate written under the supervision of P. Zakrzewski
  • Communicated by: Carl G. Jockusch, Jr.
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 251-259
  • MSC (2000): Primary 03E35, 28E15
  • DOI: https://doi.org/10.1090/S0002-9939-03-07026-6
  • MathSciNet review: 2021269