On bimeasurable images of universally measurable sets
R. Darst (1970)
Fundamenta Mathematicae
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R. Darst (1970)
Fundamenta Mathematicae
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Andrzej Komisarski, Henryk Michalewski, Paweł Milewski (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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Let X and Y be two Polish spaces. Functions f,g: X → Y are called equivalent if there exists a bijection φ from X onto itself such that g∘φ = f. Using a theorem of J. Saint Raymond we characterize functions equivalent to Borel measurable ones. This characterization answers a question asked by M. Morayne and C. Ryll-Nardzewski.
Jozef Dravecký (1975)
Matematický časopis
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H. Sarbadhikari, S. Sirvastava (1990)
Fundamenta Mathematicae
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R. Buttsworth, K. Matthews (1990)
Acta Arithmetica
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B. Bongiorno, P. Vetro (1978)
Colloquium Mathematicae
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Butler, Svetlana, Rosenblatt, Joseph (2006)
Abstract and Applied Analysis
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Karel Winkelbauer (1977)
Commentationes Mathematicae Universitatis Carolinae
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A. Kłopotowski, M. Nadkarni (2000)
Colloquium Mathematicae
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We consider some descriptive properties of supports of shift invariant measures on under the assumption that the closed linear span (in ) of the co-ordinate functions on is all of .