Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 163

Preprint Number 163

Previous Next Preprint server

163. Itaï Ben Yaacov, Alexander Berenstein
On perturbations of Hilbert spaces and probability algebras with a generic automorphism

Submission date: 24 January 2009.


We prove that IHS_A, the theory of infinite dimensional Hilbert spaces equipped with a generic automorphism, is \aleph_0-stable up to perturbation of the automorphism, and admits prime models up to perturbation over any set. Similarly, APr_A, the theory of atomless probability algebras equipped with a generic automorphism is \aleph_0-stable up to perturbation. However, not allowing perturbation it is not even superstable.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv: pdf, ps.

Last updated: January 26 2009 16:49 Please send your corrections to: