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On universal semiregular invariant measures

Published online by Cambridge University Press:  12 March 2014

Piotr Zakrzewski
Piotr Zakrzewski*
Affiliation:
Institute of Mathematics, University of Warsaw, 00-901 Warsaw, Poland
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Abstract

We consider countably additive, nonnegative, extended real-valued measures which vanish on singletons. Such a measure is universal on a set X iff it is defined on all subsets of X and is semiregular iff every set of positive measure contains a subset of positive finite measure. We study the problem of existence of a universal semiregular measure on X which is invariant under a given group of bijections of X. Moreover we discuss some properties of universal, semiregular, invariant measures on groups.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 53 , Issue 4 , December 1988 , pp. 1170 - 1176
Copyright
Copyright © Association for Symbolic Logic 1988

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References

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