Ordered asymptotic classes of finite structures
Logic
2020-01-01 v3
Abstract
In this paper we introduce the concept of O-asymptotic classes of finite structures, melding ideas coming from 1-dimensional asymptotic classes and o-minimality. The results we present here include a cell-decomposition result for O-asymptotic classes and a classification of their infinite ultraproducts: Every infinite ultraproduct of structures in an O-asymptotic class is superrosy of U-thorn-rank 1, and NTP2 (in fact, inp-minimal).
Cite
@article{arxiv.1410.2615,
title = {Ordered asymptotic classes of finite structures},
author = {Darío García},
journal= {arXiv preprint arXiv:1410.2615},
year = {2020}
}
Comments
26 pages