Products of Radon Measures: A Counter-Example
Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 285-289
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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.
Fremlin, D. H. Products of Radon Measures: A Counter-Example. Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 285-289. doi: 10.4153/CMB-1976-044-9
@article{10_4153_CMB_1976_044_9,
author = {Fremlin, D. H.},
title = {Products of {Radon} {Measures:} {A} {Counter-Example}},
journal = {Canadian mathematical bulletin},
pages = {285--289},
year = {1976},
volume = {19},
number = {3},
doi = {10.4153/CMB-1976-044-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-044-9/}
}
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