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Products of Radon Measures: A Counter-Example

Published online by Cambridge University Press:  20 November 2018

D. H. Fremlin*
Affiliation:
University of Essex, Colchester, England
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Abstract

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I show that if X is the hyperstonian space of Lebesgue measure on [0,1], then there are open sets in X×X which are not measurable for the simple product outer measure. This answers a question of M. C. Godfrey and M. Sion.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1976

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