论文标题
完美无电子PAC领域的措施
Measures on perfect e-free PAC fields
论文作者
论文摘要
我们以$ e $ $ $ $ f的完美PAC领域以及完美的PAC田地的可确定套件制定了措施，他们的绝对Galois团体是有限排名的PAC领域。我们推断出在此类领域中可以定义的所有组的可确定性。作为推论，我们还证明了通过超级映射措施以完美$ω$的PAC领域定义的所有组的可确定性。
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.
