On perturbations of Hilbert spaces and probability algebras with a generic automorphism
Logic
2009-07-01 v2
Abstract
We prove that , the theory of infinite dimensional Hilbert spaces equipped with a generic automorphism, is -stable up to perturbation of the automorphism, and admits prime models up to perturbation over any set. Similarly, , the theory of atomless probability algebras equipped with a generic automorphism is -stable up to perturbation. However, not allowing perturbation it is not even superstable.
Keywords
Cite
@article{arxiv.0810.4086,
title = {On perturbations of Hilbert spaces and probability algebras with a generic automorphism},
author = {Itaï Ben Yaacov and Alexander Berenstein},
journal= {arXiv preprint arXiv:0810.4086},
year = {2009}
}