Amalgamation of types in pseudo-algebraically closed fields and applications
Logic
2018-12-27 v3
Abstract
This paper studies unbounded PAC fields and shows an amalgamation result for types over algebraically closed sets. It discusses various applications, for instance that omega-free PAC fields have the property NSOP3. It also contains a description of imaginaries in PAC fields.
Keywords
Cite
@article{arxiv.1704.08132,
title = {Amalgamation of types in pseudo-algebraically closed fields and applications},
author = {Zoe Chatzidakis},
journal= {arXiv preprint arXiv:1704.08132},
year = {2018}
}
Comments
Minor changes in v3. Accepted version