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Existence of nonatomic charges

Published online by Cambridge University Press:  09 April 2009

K. P. S. Bhaskara Rao
Affiliation:
Mathematical Statistics Indian Statistical InstituteCalcuttaIndia
M. Bhaskara Rao
Affiliation:
Department of Probability and Statistics The University of SheffieldSheffieldU.K.
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1978

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