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Measurability in modules

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Kestner, Charlotte ORCID: 0000-0001-8976-2981 (2014) Measurability in modules. Archive for Mathematical Logic, 53 . pp. 593-620. ISSN 0933-5846

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Official URL: http://dx.doi.org/10.1007/s00153-014-0383-x

Abstract

In this paper we prove that in modules, MS-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. Finally we discuss the relation with TeX -valued measures.

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