Author： Sun Y.
Publisher： Academic Press
ISSN： 0022-1236
Source： Journal of Functional Analysis, Vol.139, Iss.1, 1996-07, pp. : 68-93
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Abstract
We present some regularity properties for the set of distributions induced by the measurable selections of a correspondence over a Loeb space, which include closedness, convexity, compactness, purification, and semicontinuity. We also note that all the properties reported in the main theorems are not satisfied by some correspondences on the unit Lebesgue interval.
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