Borel measure extensions of measures defined on sub-\(\sigma\)-algebras
type: Item
instance of: scholarly article
title: Borel measure extensions of measures defined on sub-\(\sigma\)-algebras
zbMATH Open document ID: 0951.28007
author: Hermann Render
author: J. M. Aldaz
published in: Advances in Mathematics
publication date: 2000-12-18T00:00:00Z
review text: In this paper the authors present a number of new results concerning extension of charges (finitely additive) and measures (countable additive). The novelty of the paper rests on the judicious use of non-standard techniques related to the Loeb measure construction. One of the main theorems is the following: Assume that \(X\) is a \(K\)-analytic topological space (a natural generalization of a Polish space and compact spaces) and that \(A\) is a countably-generated algebra of closed \(G_\delta\)-sets. Then every finite measure on \(A\) has a Radon extension to the Borel sets of \(X\).
Mathematics Subject Classification ID: 28C15
Mathematics Subject Classification ID: 28E05
zbMATH DE Number: 1444135
zbMATH Keywords: charges
zbMATH Keywords: measures
zbMATH Keywords: Loeb measure
zbMATH Keywords: \(K\)-analytic topological space
zbMATH Keywords: Radon extension
zbMATH Keywords: Borel sets
reviewed by: W. A. J. Luxemburg
MaRDI profile type: Publication
full work available at URL: aima.1999.1866
OpenAlex ID: W2038114711
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DOI: 10.1006/AIMA.1999.1866
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description: scientific article; zbMATH DE number 1444135