Article contents
Compact measure spaces
Published online by Cambridge University Press: 26 February 2010
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
- Type
- Research Article
- Information
- Copyright
- Copyright © University College London 1999
References
- 2
- Cited by