On decomposable measures induced by metrics
type: Item
instance of: scholarly article
title: On decomposable measures induced by metrics
zbMATH Open document ID: 1252.28001
DOI: 10.1155/2012/701206
author: Dong Qiu
author: Weiquan Zhang
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We prove that for a given normalized compact metric space it can induce a \(\sigma\)-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 \(\sigma\)-max-decomposable measure. Finally we conclude this paper with two open problems.
Mathematics Subject Classification ID: 28A05
Mathematics Subject Classification ID: 28A60
Mathematics Subject Classification ID: 54H05
zbMATH DE Number: 6106291
zbMATH Keywords: \(\sigma\)-max-superdecomposable measure
zbMATH Keywords: Hausdorff pseudometric
zbMATH Keywords: algebra of all measurable sets
Wikidata QID: Q58907184
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/701206
OpenAlex ID: W2039234766
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DBLP publication ID: journals/jam/QiuZ12
description: scientific article; zbMATH DE number 6106291