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

Full-text PDF Free Access

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

Email:
scip8206@nus.edu.sg

DOI:
https://doi.org/10.1090/S0002-9939-00-05652-5

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