Hilbert Spaces with Generic Predicates
Open Access Publications from the University of California

## Hilbert Spaces with Generic Predicates

• Author(s): Berenstein, Alexander
• Hyttinen, Tapani
• Andrés
• et al.

## Published Web Location

https://arxiv.org/pdf/0704.1633.pdf
No data is associated with this publication.
Abstract

We study the model theory of expansions of Hilbert spaces by generic predicates. We first prove the existence of model companions for generic expansions of Hilbert spaces in the form first of a distance function to a random substructure, then a distance to a random subset. The theory obtained with the random substructure is {\omega}-stable, while the one obtained with the distance to a random subset is $TP_2$ and $NSOP_1$. That example is the first continuous structure in that class.

Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.

Item not freely available? Link broken?
Report a problem accessing this item