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2012 On Decomposable Measures Induced by Metrics
Dong Qiu, Weiquan Zhang
J. Appl. Math. 2012: 1-8 (2012). DOI: 10.1155/2012/701206

Abstract

We prove that for a given normalized compact metric space it can induce a σ -max-superdecomposable measure, by constructing a Hausdorff pseudometric on its power set. We also prove that the restriction of this set function to the algebra of all measurable sets is a σ -max-decomposable measure. Finally we conclude this paper with two open problems.

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Dong Qiu. Weiquan Zhang. "On Decomposable Measures Induced by Metrics." J. Appl. Math. 2012 1 - 8, 2012. https://doi.org/10.1155/2012/701206

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1252.28001
MathSciNet: MR2948100
Digital Object Identifier: 10.1155/2012/701206

Rights: Copyright © 2012 Hindawi

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