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UNIMODULARITY UNIFIED

Published online by Cambridge University Press:  08 May 2017

DARÍO GARCÍA  and
FRANK O. WAGNER
DARÍO GARCÍA
Affiliation:
UNIV LYON, UNIVERSITÉ CLAUDE BERNARD LYON 1 CNRS UMR 5208, INSTITUT CAMILLE JORDAN 43 BLVD. DU 11 NOVEMBRE 1918 F-69622 VILLEURBANNE CEDEX, FRANCE E-mail:[email protected]
FRANK O. WAGNER
Affiliation:
UNIV LYON, UNIVERSITÉ CLAUDE BERNARD LYON 1 CNRS UMR 5208, INSTITUT CAMILLE JORDAN 43 BLVD. DU 11 NOVEMBRE 1918 F-69622 VILLEURBANNE CEDEX, FRANCE E-mail:[email protected]
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Abstract

Unimodularity is localized to a complete stationary type, and its properties are analysed. Some variants of unimodularity for definable and type-definable sets are introduced, and the relationship between these different notions is studied. In particular, it is shown that all notions coincide for non-multidimensional theories where the dimensions are associated to strongly minimal types.

Keywords

03C45unimodularityfunctional unimodularitycorrespondence unimodularitymeasurable typestable theorynon-multidimensional theorystrongly minimal set
Type
Articles
Information
The Journal of Symbolic Logic , Volume 82 , Issue 3 , September 2017 , pp. 1051 - 1065
Copyright
Copyright © The Association for Symbolic Logic 2017 

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References

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