2022/02/07 by Zoé Chatzidakis, Chatzidakis, Zoé, Nicholas Ramsey +1 · 1 citation
Computer Science · Mathematics · #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.2202.03500
openalex publication_date 2022/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct measures on definable sets in e-free perfect PAC fields, as well as on perfect PAC fields whose absolute Galois groups are free pro-p 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 ω-free PAC fields via ultralimit measures.