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Preprint Number 1212

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1212. Zoé Chatzidakis
Amalgamation of types in pseudo-algebraically closed fields and applications

Submission date: 26 April 2017


This paper studies unbounded PAC fields and shows an amalgamation result for types over algebraically closed sets. It discusses various applications, for instance that omega-free PAC fields have the property NSOP3. It also contains a description of imaginaries in PAC fields.

Mathematics Subject Classification: 03C45, 03C60

Keywords and phrases: pseudo-algebraically closed fields, imaginaries.

Full text arXiv 1704.08132: pdf, ps.

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