With respect to tail sigma fields, standard measures possess measurable disintegrations

Dubins, Lester E.; Heath, David

doi:10.1090/S0002-9939-1983-0699405-3

With respect to tail sigma fields, standard measures possess measurable disintegrations

Authors: Lester E. Dubins and David Heath
Journal: Proc. Amer. Math. Soc. 88 (1983), 416-418
MSC: Primary 28A50; Secondary 60A10
DOI: https://doi.org/10.1090/S0002-9939-1983-0699405-3
MathSciNet review: 699405
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Abstract: Let be a countably additive probability on a standard space, and let $\mathcal{A}$ be a tail subfield. Though no disintegration of with respect to $\mathcal{A}$ that is countably additive need exist, there always is one which is finitely additive.

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