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June 2002 The Group Configuration in Simple Theories and Its Applications
Itay Ben-Yaacov, Ivan Tomasic, Frank O. Wagner
Bull. Symbolic Logic 8(2): 283-298 (June 2002). DOI: 10.2178/bsl/1182353874

Abstract

In recent work, the authors have established the group configuration theorem for simple theories, as well as some of its main applications from geometric stability theory, such as the binding group theorem, or in the $\omega$-categorical case, the characterization of the forking geometry of a finitely based non-trivial locally modular regular type as projective geometry over a finite field and the equivalence of pseudolinearity and local modularity. The proof necessitated an extension of the model-theoretic framework to include almost hyperimaginaries, and the study of polygroups.

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Itay Ben-Yaacov. Ivan Tomasic. Frank O. Wagner. "The Group Configuration in Simple Theories and Its Applications." Bull. Symbolic Logic 8 (2) 283 - 298, June 2002. https://doi.org/10.2178/bsl/1182353874

Information

Published: June 2002
First available in Project Euclid: 20 June 2007

zbMATH: 1060.03051
MathSciNet: MR1919592
Digital Object Identifier: 10.2178/bsl/1182353874

Rights: Copyright © 2002 Association for Symbolic Logic

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Vol.8 • No. 2 • June 2002
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