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The group configuration in simple theories and its applications (CROSBI ID 125437)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Ben-Yaacov, Itay ; Tomašić, Ivan ; Wagner, Frank O. The group configuration in simple theories and its applications // Bulletin of symbolic logic, 8 (2002), 2; 283-298

Podaci o odgovornosti

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

engleski

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.

simple theory ; group configuration ; polygroup

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Podaci o izdanju

8 (2)

2002.

283-298

objavljeno

1079-8986

1943-5894

Povezanost rada

Matematika

Indeksiranost