On the Borel $\sigma$-field and the Baire property
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- by John C. Morgan
- Proc. Amer. Math. Soc. 90 (1984), 250-252
- DOI: https://doi.org/10.1090/S0002-9939-1984-0727243-2
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Abstract:
There is no category base for which the $\sigma$-field of sets with the Baire property coincides with the $\sigma$-field of linear Borel sets.References
- John C. Morgan II, Baire category from an abstract viewpoint, Fund. Math. 94 (1977), no. 1, 13–23. MR 433416, DOI 10.4064/fm-94-1-59-64
- John C. Morgan II, On product bases, Pacific J. Math. 99 (1982), no. 1, 105–126. MR 651489, DOI 10.2140/pjm.1982.99.105 —, Measurability and the abstract Baire property (to appear). E. Szpilrajn (Marczewski), Sur une classe de fonctions de M. Sierpiński et la classe correspondante d’ensembles, Fund. Math. 24 (1935), 17-34.
Bibliographic Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 250-252
- MSC: Primary 28A05; Secondary 04A15, 26A21, 54A05, 54E52
- DOI: https://doi.org/10.1090/S0002-9939-1984-0727243-2
- MathSciNet review: 727243