Skip to Main Content

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.

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.

 

On Sierpiński sets
HTML articles powered by AMS MathViewer

by Tomek Bartoszyński and Haim Judah PDF
Proc. Amer. Math. Soc. 108 (1990), 507-512 Request permission

Abstract:

We prove that it is consistent with ZFC that every Sierpinski set is strongly meager. It is also proved that under CH every Sierpinski set is a union of two strongly meager sets.
References
  • Thomas Jech, Set theory, Pure and Applied Mathematics, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 506523
  • Arnold W. Miller, Special subsets of the real line, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 201–233. MR 776624
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 03E35, 03E05, 03E15
  • Retrieve articles in all journals with MSC: 03E35, 03E05, 03E15
Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 108 (1990), 507-512
  • MSC: Primary 03E35; Secondary 03E05, 03E15
  • DOI: https://doi.org/10.1090/S0002-9939-1990-0991689-0
  • MathSciNet review: 991689