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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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Marczewski sets, measure and the Baire property. II
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by John T. Walsh PDF
Proc. Amer. Math. Soc. 106 (1989), 1027-1030 Request permission

Abstract:

An example is given (in ZFC) of a hereditarily Marczewski set which does not have the Baire property in the wise sense and is not Lebesgue measurable. It is then shown that Marczewski sets, which do not satisfy the c.c.c., possess a hull property.
References
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 106 (1989), 1027-1030
  • MSC: Primary 28A05; Secondary 26A21, 54H05
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0967489-6
  • MathSciNet review: 967489