Concerning the measurable boundaries of a real function
C. Goffman, R. Zink (1960)
Fundamenta Mathematicae
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C. Goffman, R. Zink (1960)
Fundamenta Mathematicae
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S. Tarkowski (1970)
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Járai, Antal (1999)
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Milton Parnes (1973)
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Schaerf, H.M. (1947)
Portugaliae mathematica
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Piotr Niemiec (2013)
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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. ...
Graf, Siegfried
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