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Compact measure spaces

Part of: Classical measure theory

Published online by Cambridge University Press:  26 February 2010

D. H. Fremlin
D. H. Fremlin
Affiliation:
Department of Mathematics, University of Essex, Colchester, CO4 3SQ, U.K.
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Abstract

A (countably) compact measure is one which is inner regular with respect to a (countably) compact class of sets. This note characterizes compact probability measures in terms of the representation of Boolean homomorphisms of their measure algebras, and shows that the same ideas can be used to give a direct proof of J. Pachl's theorem that any image measure of a countably compact measure is again countably compact.

MSC classification

Secondary: 28A12: Contents, measures, outer measures, capacities
Type
Research Article
Information
Mathematika , Volume 46 , Issue 2 , December 1999 , pp. 331 - 336
Copyright
Copyright © University College London 1999

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References

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