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Construction d'un groupe dans les structures C-minimales

Published online by Cambridge University Press:  12 March 2014

Fares Maalouf*
Affiliation:
Equipe de Logique Mathématique, CNRS-UFR de Mathématiques, Université Paris7, 175 Rue du Chevaleret 75013 Paris, France, E-mail: maalouf@logique.jussieu.fr

Abstract

We will study some aspects of the local structure of models of certain C-minimal theories. We will prove (theorem 19) that, in a sufficiently saturated C-minimal structure in which the algebraic closure has the exchange property and which is locally modular, we can construct an infinite type-definable group around any non trivial point (a term to be defined later).

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2008

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References

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