Measures on bounded perfect PAC fields
Logic
2025-04-22 v1
Abstract
We describe a construction for producing Keisler measures on bounded perfect PAC fields. As a corollary, we deduce that all groups definable in bounded perfect PAC fields, and even in unbounded perfect Frobenius fields, are definably amenable. This work builds on our earlier constructions of measures for -free PAC fields and a related construction due to Will Johnson.
Cite
@article{arxiv.2504.14006,
title = {Measures on bounded perfect PAC fields},
author = {Zoé Chatzidakis and Nicholas Ramsey},
journal= {arXiv preprint arXiv:2504.14006},
year = {2025}
}