Imaginaries in separably closed valued fields: IMAGINARIES IN SEPARABLY CLOSED VALUED FIELDS Academic Article uri icon

abstract

  • We show that separably closed valued fields of finite imperfection degree (either with lambda-functions or commuting Hasse derivations) eliminate imaginaries in the geometric language. We then use this classification of interpretable sets to study stably dominated types in those structures. We show that separably closed valued fields of finite imperfection degree are metastable and that the space of stably dominated types is strict pro-definable. Subjects: Logic (math. LO) MSC classes: 12J20, 03C10, 03C98 Cite as: arXiv: 1612.02142 [math. LO](or arXiv: 1612.02142 v1 [math. LO] for this version) Submission history From: Silvain Rideau [view email][v1] Wed, 7 Dec 2016 08: 17: 21 GMT (43kb)

publication date

  • January 1, 2018