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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.14006 |
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| _version_ | 1866908326587006976 |
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| author | Chatzidakis, Zoé Ramsey, Nicholas |
| author_facet | Chatzidakis, Zoé Ramsey, Nicholas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14006 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Measures on bounded perfect PAC fields Chatzidakis, Zoé Ramsey, Nicholas Logic 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. |
| title | Measures on bounded perfect PAC fields |
| topic | Logic |
| url | https://arxiv.org/abs/2504.14006 |