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Remarks on unimodularity

Published online by Cambridge University Press:  12 March 2014

Charlotte Kestner  and
Anand Pillay
Charlotte Kestner
Affiliation:
School Of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom, E-mail: mmchk@leeds.ac.uk, E-mail: A.Pillay@leeds.ac.uk
Anand Pillay
Affiliation:
School Of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom, E-mail: mmchk@leeds.ac.uk, E-mail: A.Pillay@leeds.ac.uk
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 76 , Issue 4 , December 2011 , pp. 1453 - 1458
Copyright
Copyright © Association for Symbolic Logic 2011

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References

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