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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Strongly meager sets of real numbers and tree forcing notions
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by Andrzej Nowik and Tomasz Weiss
Proc. Amer. Math. Soc. 130 (2002), 1183-1187
DOI: https://doi.org/10.1090/S0002-9939-01-06174-3
Published electronically: October 1, 2001

Abstract:

We show that every strongly meager set has the $l_0$- and the $m_0$- property.
References
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Bibliographic Information
  • Andrzej Nowik
  • Affiliation: University of Gdańsk, Institute of Mathematics, ul. Wita Stwosza 57, 80–952 Gdańsk, Poland
  • Address at time of publication: Institute of Mathematics, Polish Academy of Sciences, Abrahama 18, 81-825 Sopot, Poland
  • Email: matan@paula.univ.gda.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): July 7, 2000
  • Received by editor(s) in revised form: October 2, 2000
  • Published electronically: October 1, 2001
  • Additional Notes: The first author was partially supported by KBN grant 2 P03A 047 09
  • Communicated by: Carl G. Jockusch, Jr.
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 1183-1187
  • MSC (2000): Primary 03E15, 03E20, 28E15
  • DOI: https://doi.org/10.1090/S0002-9939-01-06174-3
  • MathSciNet review: 1873795