Universally measurable spaces: an invariance theorem and diverse characterizations

DOI10.4064/fm-121-2-169-176zbMath0573.28018OpenAlexW764093590MaRDI QIDQ3691991

R. M. Shortt

Publication date: 1984

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/211485

zbMATH Keywords

conditional probabilitiesBlackwell's theoremexistence of probability measures with given marginalsinvariance of the universal measurability property over all metrizations generating the same Borel structureperfect probabilities

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Martingales and classical analysis (60G46) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (7)

The Steinhaus-Weil property: its converse, subcontinuity and Solecki amenability ⋮ On a Formula for the L2 Wasserstein Metric between Measures on Euclidean and Hilbert Spaces ⋮ Equidistribution for nonuniformly expanding dynamical systems, and application to the almost sure invariance principle ⋮ Strassen's marginal problem in two or more dimensions ⋮ Loss of memory and moment bounds for nonstationary intermittent dynamical systems ⋮ A variational principle for the Kramers equation with unbounded external forces ⋮ Uniform and universal Glivenko-Cantelli classes

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