Marczewski sets, measure and the Baire property
John Walsh (1988)
Fundamenta Mathematicae
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John Walsh (1988)
Fundamenta Mathematicae
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A. Ioffe (1980)
Fundamenta Mathematicae
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Marek Balcerzak (1987)
Mathematica Slovaca
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Anna Kucia (1991)
Fundamenta Mathematicae
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J. Bourgain (1979)
Fundamenta Mathematicae
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H. Ursell (1939)
Fundamenta Mathematicae
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W. Matuszewska (1965)
Studia Mathematica
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Jack Brown (1990)
Fundamenta Mathematicae
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Alan Taylor (1978)
Fundamenta Mathematicae
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Hiroshi Fujita, Tamás Mátrai (2010)
Fundamenta Mathematicae
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If an atomlessly measurable cardinal exists, then the class of Lebesgue measurable functions, the class of Borel functions, and the Baire classes of all orders have the difference property. This gives a consistent positive answer to Laczkovich's Problem 2 [Acta Math. Acad. Sci. Hungar. 35 (1980)]. We also give a complete positive answer to Laczkovich's Problem 3 concerning Borel functions with Baire-α differences.