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On products of almost strong liftings

Part of: Classical measure theory

Published online by Cambridge University Press:  09 April 2009

N. D. Macheras  and
W. Strauss
N. D. Macheras
Affiliation:
Department of StatisticsUniversity of Piraeus80 Karaoli and Dimitriou street 185 34 PiraeusGreece e-mail: [email protected]
W. Strauss
Affiliation:
Mathematisches Institut A Universität StuttgartPostfach 80 11 40 D-70511 StuttgartGermany e-mail: [email protected]
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Abstract

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Dealing with a problem posed by Kupka we give results concerning the permanence of the almost strong lifting property (respectively of the universal strong lifting property) under finite and countable products of topological probability spaces. As a basis we prove a theorem on the existence of liftings compatible with products for general probability spaces, and in addition we use this theorem for discussing finite products of lifting topologies.

MSC classification

Secondary: 28A51: Lifting theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 60 , Issue 3 , June 1996 , pp. 311 - 333
Copyright
Copyright © Australian Mathematical Society 1996

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