Coanalytic sets that are not Blackwell spaces
Ashok Maitra (1970)
Fundamenta Mathematicae
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Ashok Maitra (1970)
Fundamenta Mathematicae
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R. Darst (1970)
Fundamenta Mathematicae
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Steven Shreve (1981)
Fundamenta Mathematicae
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Piotr Niemiec (2013)
Open Mathematics
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For a metrizable space X and a finite measure space (Ω, , µ), the space M µ(X) of all equivalence classes (under the relation of equality almost everywhere mod µ) of -measurable functions from Ω to X, whose images are separable, equipped with the topology of convergence in measure, and some of its subspaces are studied. In particular, it is shown that M µ(X) is homeomorphic to a Hilbert space provided µ is (nonzero) nonatomic and X is completely metrizable and has more than one point. ...
Ronald K. Getoor (1975)
Séminaire de probabilités de Strasbourg
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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.
John B. Walsh (1971)
Séminaire de probabilités de Strasbourg
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H. Sarbadhikari, S. Sirvastava (1990)
Fundamenta Mathematicae
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Šmídek, M. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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