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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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The existence of $Q$-sets is equivalent to the existence of strong $Q$-sets
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by Teodor C. Przymusiński PDF
Proc. Amer. Math. Soc. 79 (1980), 626-628 Request permission

Abstract:

In this note we prove that the existence of an uncountable Q-set is equivalent to the existence of an uncountable strong Q-set, i.e. a Q-set all finite powers of which are Q-sets.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 79 (1980), 626-628
  • MSC: Primary 54E35
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0572316-7
  • MathSciNet review: 572316