Pseudofinite H-structures and groups definable in supersimple H-structures
Logic
2020-07-21 v4
Abstract
In this paper we explore some properties of H-structures. We describe a construction of H-structures based on one-dimensional asymptotic classes which preserves pseudo-finiteness. That is, the H-structures we construct are ultraproducts of finite structures. We also prove that under the assumption that the base theory is supersimple of SU-rank one, there are no new definable groups in H-structures.
Cite
@article{arxiv.1806.01398,
title = {Pseudofinite H-structures and groups definable in supersimple H-structures},
author = {Tingxiang Zou},
journal= {arXiv preprint arXiv:1806.01398},
year = {2020}
}