Transfer of generalized amalgamation in simple theories
Logic
2026-03-03 v1
Abstract
We give an abstract framework to transfer generalized amalgamation from a simple theory to another, and we apply it to theories of lovely pairs and of bounded PAC structures. We show in particular that bounded pseudo-algebraically closed fields have generalized amalgamation, regardless of their imperfection degree.
Keywords
Cite
@article{arxiv.2603.01871,
title = {Transfer of generalized amalgamation in simple theories},
author = {Baptiste Schilling},
journal= {arXiv preprint arXiv:2603.01871},
year = {2026}
}