Remarks on unimodularity

Journal of Symbolic Logic 76 (4):1453-1458 (2011)
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Abstract

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

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Citations of this work

Pseudofinite structures and simplicity.Darío García, Dugald Macpherson & Charles Steinhorn - 2015 - Journal of Mathematical Logic 15 (1):1550002.
Unimodularity unified.Darío García & Frank O. Wagner - 2017 - Journal of Symbolic Logic 82 (3):1051-1065.

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References found in this work

[Omnibus Review].Anand Pillay - 1984 - Journal of Symbolic Logic 49 (1):317-321.
Locally modular theories of finite rank.Steven Buechler - 1986 - Annals of Pure and Applied Logic 30 (1):83-94.
Asymptotic Classes of Finite Structures.Richard Elwes - 2007 - Journal of Symbolic Logic 72 (2):418 - 438.

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