37 citations · 53 across the 4 of their papers we have counts for
4 papers
Lovely pairs of models: the non first order case
Itaï Ben Yaacov
We prove that for every simple theory (or even simple thick compact abstract theory) there is a (unique) compact abstract theory $T^\fP$ whose saturated models are the lovely p…
On supersimplicity and lovely pairs of cats
Itaï Ben Yaacov
We prove that the definition of supersimplicity in metric structures from \cite{pezz:Morley} is equivalent to an \textit{a priori} stronger variant. This stronger variant is then u…
Model theoretic forcing in analysis
Itaï Ben Yaacov, José Iovino
We present a framework for model theoretic forcing in a non-first-order context, and present some applications of this framework to Banach space theory.
On perturbations of Hilbert spaces and probability algebras with a generic automorphism
Itaï Ben Yaacov, Alexander Berenstein
We prove that , the theory of infinite dimensional Hilbert spaces equipped with a generic automorphism, is -stable up to perturbation of the automorphism, and admi…