Pseudofinite difference fields and counting dimensions
Logic
2020-07-21 v4
Abstract
We study a family of ultraproducts of finite fields with the Frobenius automorphism in this paper. Their theories have the strict order property and TP2. But the coarse pseudofinite dimension of the definable sets is definable and integer-valued. Moreover, we also discuss the possible connection between coarse dimension and transformal transcendence degree in these difference fields.
Keywords
Cite
@article{arxiv.1806.10026,
title = {Pseudofinite difference fields and counting dimensions},
author = {Tingxiang Zou},
journal= {arXiv preprint arXiv:1806.10026},
year = {2020}
}