Unions of Loeb nullsets

Ross, David

doi:10.1090/S0002-9939-96-03274-1

Unions of Loeb nullsets
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by David A. Ross PDF

Proc. Amer. Math. Soc. 124 (1996), 1883-1888 Request permission

Abstract:

The union of every point-finite, completely measurable family of Loeb nullsets is itself a Loeb nullset, provided the nonstandard model satisfies a simple set-theoretic condition. One application of this result is that every Loeb measurable function into a metric space has a lifting.

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