Model Theory of Homogeneous D-sets
Logic
2025-02-28 v2
Abstract
We explore several model-theoretic aspects of D-sets, which were studied in detail by Adeleke and Neumann. We characterize ultrahomogeneity in the class of colored D-sets and classify unbounded order-indiscernible sequences in such structures. We use these results to provide a characterization of distal colored D-sets and prove that all colored D-sets with quantifier elimination are dp-minimal.
Cite
@article{arxiv.2502.09881,
title = {Model Theory of Homogeneous D-sets},
author = {Felipe Estrada and John Goodrick},
journal= {arXiv preprint arXiv:2502.09881},
year = {2025}
}
Comments
33 pages, 2 figures