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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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On second-category sets
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by P. Komjáth PDF
Proc. Amer. Math. Soc. 107 (1989), 653-654 Request permission

Abstract:

The existence of a measurable cardinal is equiconsistent to the existence of a second category set not decomposable into the union of uncountable many disjoint second category sets.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 107 (1989), 653-654
  • MSC: Primary 03E15; Secondary 03E55, 04A15, 28A12
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0976358-7
  • MathSciNet review: 976358