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Existence of nonatomic charges
Published online by Cambridge University Press: 09 April 2009
Abstract
A complete characterization of Boolean algebras which admit nonatomic charges (i.e. finitely additive measures) is obtained. This also gives rise to a characterization of superatomic Boolean algebras. We also consider the problem of denseness of the set of all nonatomic charges in the space of all charges on a given Boolean algebra, equipped with a suitable topology.
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- Research Article
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- Copyright © Australian Mathematical Society 1978
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