On sets every homeomorphic image of which has the Baire property
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- by John C. Morgan II PDF
- Proc. Amer. Math. Soc. 75 (1979), 351-354 Request permission
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
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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.)
Additional 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