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Group configurations and germs in simple theories

Published online by Cambridge University Press:  12 March 2014

Itay Ben-Yaacov
Itay Ben-Yaacov*
Affiliation:
Équipe de Logique Mathématique, UFR de Mathématiques (Case 7012), Université Paris7, 2 Place Jussieu 75251 Paris Cedex 05, France, E-mail: pezz@logique.jussieu.fr URL: http://www.logique.jussieu.fr/www.pezz
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Abstract

We develop the theory of germs of generic functions in simple theories. Starting with an algebraic quadrangle (or other similar hypotheses), we obtain an “almost” generic group chunk, where the product is defined up to a bounded number of possible values. This is the first step towards the proof of the group configuration theorem for simple theories, which is completed in [3].

Keywords

simple theoriesgroup configurationgerms
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 4 , December 2002 , pp. 1581 - 1600
Copyright
Copyright © Association for Symbolic Logic 2002

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References

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