On almost orthogonality in simple theories
Ben-Yaacov, Itay ; Wagner, Frank O.
J. Symbolic Logic, Tome 69 (2004) no. 1, p. 398-408 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
1. We show that if p is a real type which is internal in a set Σ of partial types in a simple theory, then there is a type p’ interbounded with p, which is finitely generated over Σ, and possesses a fundamental system of solutions relative to Σ. ¶ 2. If p is a possibly hyperimaginary Lascar strong type, almost Σ-internal, but almost orthogonal to Σω, then there is a canonical non-trivial almost hyperdefinable polygroup which multi-acts on p while fixing Σ generically. In case p is Σ-internal and T is stable, this is the binding group of p over Σ.
Publié le : 2004-06-15
Classification:  03C46 
@article{1082418533,
     author = {Ben-Yaacov, Itay and Wagner, Frank O.},
     title = {On almost orthogonality in simple theories},
     journal = {J. Symbolic Logic},
     volume = {69},
     number = {1},
     year = {2004},
     pages = { 398-408},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1082418533}
}

Ben-Yaacov, Itay; Wagner, Frank O. On almost orthogonality in simple theories. J. Symbolic Logic, Tome 69 (2004) no. 1, pp.  398-408. http://gdmltest.u-ga.fr/item/1082418533/