Rado’s theorem for the Loeb space of an internal *-finitely additive measure space

Živaljević, Boško

doi:10.1090/S0002-9939-1991-1056688-2

Rado’s theorem for the Loeb space of an internal $*$-finitely additive measure space
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Proc. Amer. Math. Soc. 112 (1991), 203-207 Request permission

Abstract:

A version of Rado’s theorem about the existence of a family of subsets of a given family of sets combinatorially similar to another family of sets is proved for the Loeb space of an internal $*$-finitely additive measure space. As a corollary we obtain the Loeb measured case of the result of B. Bollobas and N. Th. Varopoulos about the existence of a family of mutually disjoint measurable subsets of the given family of measurable sets, having the prescribed measure.

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