Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Small subsets of the reals and tree forcing notions
HTML articles powered by AMS MathViewer

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).
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 03E35, 28E15
  • Retrieve articles in all journals with MSC (2000): 03E35, 28E15
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