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On the independence of correspondences

Author: Xiaoai Lin
Journal: Proc. Amer. Math. Soc. 129 (2001), 1329-1334
MSC (2000): Primary 28B20, 60E05
Published electronically: October 10, 2000
MathSciNet review: 1709761
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Abstract | References | Similar Articles | Additional Information

Abstract: An almost independent set-valued process on a Loeb product space is shown to be representable as the closure of a sequence of its selections which are almost independent themselves. This provides a Castaing type representation in terms of independent correspondences. Different definitions of independence for correspondences in the literature are also unified in a general setting.

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Additional Information

Xiaoai Lin
Affiliation: Department of Mathematics, National University of Singapore, Singapore 119260

Received by editor(s): May 13, 1999
Received by editor(s) in revised form: July 8, 1999
Published electronically: October 10, 2000
Additional Notes: The author is grateful to an anonymous referee and Yeneng Sun for many helpful suggestions on the exposition of the paper.
Communicated by: Carl G. Jockusch, Jr.
Article copyright: © Copyright 2000 American Mathematical Society

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