On stable Kim-forking and rosy theories
Logic
2026-01-14 v1
Abstract
We provide a partial answer to a question asked independently by Kim and d'Elb\'ee and show that, under the assumption of the stable Kim-forking conjecture, every rosy theory must be simple. We also prove that the theory of a Frobenius field has stable Kim-forking.
Keywords
Cite
@article{arxiv.2503.23936,
title = {On stable Kim-forking and rosy theories},
author = {Alberto Miguel-Gómez},
journal= {arXiv preprint arXiv:2503.23936},
year = {2026}
}
Comments
10 pages