The Group Configuration in Simple Theories and Its Applications
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.
Permanent link to this document: http://projecteuclid.org/euclid.bsl/1182353874
Digital Object Identifier: doi:10.2178/bsl/1182353874
Mathematical Reviews number (MathSciNet): MR1919592
Zentralblatt MATH identifier: 1060.03051