Decomposition in the product of a measure space and a Polish space
J. Bourgain (1979)
Fundamenta Mathematicae
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Displaying similar documents to “Approximations of one-one measurable transformations”
Decomposition in the product of a measure space and a Polish space
On the non-measurability of a certain mapping
Robert E. Atalla (1970)
Compositio Mathematica
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Borel extensions of Baire measures in ZFC
Menachem Kojman, Henryk Michalewski (2011)
Fundamenta Mathematicae
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We prove: 1) Every Baire measure on the Kojman-Shelah Dowker space admits a Borel extension. 2) If the continuum is not real-valued-measurable then every Baire measure on M. E. Rudin's Dowker space admits a Borel extension. Consequently, Balogh's space remains the only candidate to be a ZFC counterexample to the measure extension problem of the three presently known ZFC Dowker spaces.
A remark on my paper “Regularly increasing functions in connection with the theory of -spaces”
W. Matuszewska (1965)
Studia Mathematica
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Classification of -ideals
Marek Balcerzak (1987)
Mathematica Slovaca
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On the difference property of Borel measurable functions
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.
Remarks on the zero-one law
Harry I. Miller, Boško Živaljević (1984)
Mathematica Slovaca
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