Remarks on the zero-one law
Harry I. Miller, Boško Živaljević (1984)
Mathematica Slovaca
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Harry I. Miller, Boško Živaljević (1984)
Mathematica Slovaca
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Marek Balcerzak (1987)
Mathematica Slovaca
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Robert E. Atalla (1970)
Compositio Mathematica
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Ondřej F. K. Kalenda (1997)
Acta Universitatis Carolinae. Mathematica et Physica
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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.
Fred Smith (1970)
Fundamenta Mathematicae
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