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A characterization of the barycentre
Published online by Cambridge University Press: 26 February 2010
Abstract
Given a Hausdorff topological vector space with dimensiongreater than one, the barycentre of simple masses can be seen as the unique associative, internal and continuous mapping defined on these masses. Moreover, if the associated dual space separates points, by extending the continuity property, one can characterize also the barycentre of masses with compact convex support.
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- Research Article
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- Copyright © University College London 2004
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