We investigate the products of topological measure spaces, discussing conditions under which all open sets will be measurable for the simple completed product measure, and under which the product of completion regular measures will be completion regular. In passing, we describe a new class of spaces on which all completion regular Borel probability measures are τ-additive, and which have other interesting properties.
@article{bwmeta1.element.bwnjournal-article-fmv147i1p27bwm,
author = {David Fremlin and S. Grekas},
title = {Products of completion regular measures},
journal = {Fundamenta Mathematicae},
volume = {146},
year = {1995},
pages = {27-37},
zbl = {0843.28005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv147i1p27bwm}
}
Fremlin, David; Grekas, S. Products of completion regular measures. Fundamenta Mathematicae, Tome 146 (1995) pp. 27-37. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv147i1p27bwm/
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