Unions of Loeb nullsets
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- by David A. Ross
- Proc. Amer. Math. Soc. 124 (1996), 1883-1888
- DOI: https://doi.org/10.1090/S0002-9939-96-03274-1
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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.References
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Bibliographic Information
- David A. Ross
- Affiliation: Department of Mathematics, University of Hawaii at Manoa, Honolulu, Hawaii 96822
- Email: ross@math.hawaii.edu
- Received by editor(s): July 6, 1993
- Received by editor(s) in revised form: December 30, 1994
- Communicated by: Andreas Blass
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1883-1888
- MSC (1991): Primary 28E05; Secondary 03H05, 26E35
- DOI: https://doi.org/10.1090/S0002-9939-96-03274-1
- MathSciNet review: 1317048