Publications
5 results found
Kestner C, Howell K-T, 2022, The model theory of Commutative Near Vector Spaces, Quaestiones Mathematicae, ISSN: 1607-3606
Kestner CH, Boxall G, 2017, THE DEFINABLE (P, Q)-THEOREM FOR DISTAL THEORIES, Journal of Symbolic Logic, ISSN: 0022-4812
Kestner C, 2014, Measurability in modules, Archive for Mathematical Logic, Vol: 53, Pages: 593-620, ISSN: 0933-5846
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 ℚ[t] -valued measures.
Boxall G, Bradley-Williams D, Kestner C, et al., 2013, Weak One-Basedness, Notre Dame Journal of Formal Logic, Vol: 54, ISSN: 0029-4527
Kestner C, Pillay A, 2011, Remarks on unimodularity, The Journal of Symbolic Logic, Vol: 76, Pages: 1453-1458, ISSN: 0022-4812
<jats:title>Abstract</jats:title><jats:p>We clarify and correct some statements and results in the literature concerning unimodularity in the sense of Hrushovski [7], and measurability in the sense of Macpherson and Steinhorn [8], pointing out in particular that the two notions coincide for strongly minimal structures and that another property from [7] is strictly weaker, as well as “completing” Elwes' proof [5] that measurability implies 1-basedness for stable theories.</jats:p>
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