Universally measurable spaces: an invariance theorem and diverse characterizations

Rae Shrott

Displaying similar documents to “Universally measurable spaces: an invariance theorem and diverse characterizations”

Coanalytic sets that are not Blackwell spaces

Ashok Maitra (1970)

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On bimeasurable images of universally measurable sets

R. Darst (1970)

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Borel-approachable functions

Steven Shreve (1981)

Fundamenta Mathematicae

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Spaces of measurable functions

Piotr Niemiec (2013)

Open Mathematics

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For a metrizable space X and a finite measure space (Ω, $𝔐$ , µ), the space M µ(X) of all equivalence classes (under the relation of equality almost everywhere mod µ) of $𝔐$ -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. ...

On the construction of kernels

Ronald K. Getoor (1975)

Séminaire de probabilités de Strasbourg

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Functions Equivalent to Borel Measurable Ones

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.

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John B. Walsh (1971)

Séminaire de probabilités de Strasbourg

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H. Sarbadhikari, S. Sirvastava (1990)

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Measurability of some sets of Borel measurable functions on $[0, 1]$ .

Šmídek, M. (1995)

Acta Mathematica Universitatis Comenianae. New Series

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