Descriptive sets in uniform spaces
Rice, M. D.
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Rice, M. D.
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Anthony Hager (1972)
Fundamenta Mathematicae
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Gilles Godefroy (1986)
Studia Mathematica
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John Burgess (1980)
Fundamenta Mathematicae
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Anthony Hager, George Reynolds, M. Rice (1972)
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.
Michael David Rice (1986)
Commentationes Mathematicae Universitatis Carolinae
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