@article{ben-yaacov_wagner_2004,
title={On almost orthogonality in simple theories},
volume={69},
DOI={10.2178/jsl/1082418533},
abstractNote={Abstract.
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 Σ
ω
, 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.},
number={02},
publisher={Cambridge University Press (CUP)},
author={Ben-Yaacov and Wagner},
year={2004}
}