Naslov
The group configuration in simple theories and its applications

Autori
Ben-Yaacov, Itay ; Tomašić, Ivan ; Wagner, Frank O.

Izvornik
Bulletin of symbolic logic (1079-8986) 8 (2002), 2; 283-298

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
simple theory ; group configuration ; polygroup

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA