On Decomposable Measures Induced by Metrics

Dong Qiu and Weiquan Zhang

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/701206

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:701206

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