On stable Kim-forking and rosy theories
arXiv:2503.23936 · doi:10.1017/jsl.2025.10173
Abstract
We provide a partial answer to a question asked independently by Kim and d'Elbée 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.
10 pages