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arXiv · 2504.14006

Measures on bounded perfect PAC fields

Zoé Chatzidakis·Nicholas Ramsey
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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 $e$-free PAC fields and a related construction due to Will Johnson.

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Zoé Chatzidakis, Nicholas Ramsey. 2025-04-18. Measures on bounded perfect PAC fields. https://arxiv.org/abs/2504.14006

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