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Preprint Number 282
282. Charlotte Kestner
Measurability in modules
Submission date: 25 November 2010. Revised on 31 March 2014.
In this paper we prove that in modules, measurability (in the sense of Macpherson-Steinhorn) depends on being able to define a measure function on the p.p. definable subgroups. We give a classification of abelian groups in terms of measurability and U-rank. Finally we discuss the relation with Q(t)-valued measures.
Mathematics Subject Classification: 03C99
Keywords and phrases: measurable, modules, Q(t)-measure
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