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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On sets every homeomorphic image of which has the Baire property
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by John C. Morgan II
Proc. Amer. Math. Soc. 75 (1979), 351-354
DOI: https://doi.org/10.1090/S0002-9939-79-99959-3
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Abstract:

It is shown that the class of sets every homeomorphic image of which has the Baire property does not coincide with the class of sets which have the Baire property in the restricted sense.
References
    M. Lavrentieff, Contribution à la théorie des ensembles homéomorphes, Fund. Math. 6 (1924), 149-160.
  • John C. Morgan II, On the absolute Baire property, Pacific J. Math. 78 (1978), no. 2, 415–431. MR 519763
    • W. Sierpiński, Sur une propriété topologique des ensembles dénombrables denses en soi, Fund. Math. 1 (1920), 11-16. E. Szpilrajn (Marczewski), O zbiorach i funcjach bezwzglednie mierzalnych, C R. Soc. Sci. Varsovie 30 (1937), 39-68. (An English translation of this article is available.)
Bibliographic Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 75 (1979), 351-354
  • DOI: https://doi.org/10.1090/S0002-9939-79-99959-3