Products of completion regular measures

David Fremlin; S. Grekas

Fundamenta Mathematicae (1995)

  • Volume: 147, Issue: 1, page 27-37
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Fremlin, David, and Grekas, S.. "Products of completion regular measures." Fundamenta Mathematicae 147.1 (1995): 27-37. <http://eudml.org/doc/212072>.

@article{Fremlin1995,
abstract = {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.},
author = {Fremlin, David, Grekas, S.},
journal = {Fundamenta Mathematicae},
keywords = {-additive measure; dyadic Hausdorff space; products; topological measure spaces; completion regular measures},
language = {eng},
number = {1},
pages = {27-37},
title = {Products of completion regular measures},
url = {http://eudml.org/doc/212072},
volume = {147},
year = {1995},
}

TY - JOUR
AU - Fremlin, David
AU - Grekas, S.
TI - Products of completion regular measures
JO - Fundamenta Mathematicae
PY - 1995
VL - 147
IS - 1
SP - 27
EP - 37
AB - 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.
LA - eng
KW - -additive measure; dyadic Hausdorff space; products; topological measure spaces; completion regular measures
UR - http://eudml.org/doc/212072
ER -

References

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