Journal
ANNALS OF PURE AND APPLIED LOGIC
Volume 161, Issue 7, Pages 866-878Publisher
ELSEVIER
DOI: 10.1016/j.apal.2009.10.004
Keywords
Geometric structures; Linear structures; Rosy theories; o-minimal theories; Dense pairs; Lovely pairs
Categories
Funding
- Facultad de Ciencias de la Universidad de los Andes
- ANR [ANR-06-CEXC- 007]
- NSERC
- Colciencias
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We study the theory of lovely pairs of geometric structures, in particular o-minimal structures. We use the pairs to isolate a class of geometric structures called weakly locally modular which generalizes the class of linear structures in the settings of SU-rank one theories and o-minimal theories. For o-minimal theories, we use the Peterzil-Starchenko trichotomy theorem to characterize for a sufficiently general point, the local geometry around it in terms of the thorn U-rank of its type inside a lovely pair. (C) 2010 Published by Elsevier B.V.
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