Affiliation:
1. Einstein Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel
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.
Publisher
World Scientific Pub Co Pte Lt
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. MODEL THEORY OF GALOIS ACTIONS OF TORSION ABELIAN GROUPS;Journal of the Institute of Mathematics of Jussieu;2022-06-30