Measures on perfect e-free PAC fields
Logic
2022-02-09 v1
Abstract
We construct measures on definable sets in -free perfect PAC fields, as well as on perfect PAC fields whose absolute Galois groups are free pro- of finite rank. We deduce the definable amenability of all groups definable in such fields. As a corollary, we additionally prove the definable amenability of all groups definable in perfect -free PAC fields via ultralimit measures.
Cite
@article{arxiv.2202.03500,
title = {Measures on perfect e-free PAC fields},
author = {Zoé Chatzidakis and Nicholas Ramsey},
journal= {arXiv preprint arXiv:2202.03500},
year = {2022}
}