Unexpected imaginaries in valued fields with analytic structure

DOI10.2178/jsl.7802100zbMath1317.03029arXiv1112.4990OpenAlexW2594338555WikidataQ61848355 ScholiaQ61848355MaRDI QIDQ5300076

Deirdre Haskell, Dugald Macpherson, Ehud Hrushovski

Publication date: 24 June 2013

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4990

zbMATH Keywords

model theoryvalued fieldselimination of imaginariesvalued fields with analytic structure

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Model theory of ordered structures; o-minimality (03C64) Model theory of fields (12L12)

Related Items (5)

A criterion for uniform finiteness in the imaginary sorts ⋮ Interpretable fields in various valued fields ⋮ Imaginaries and invariant types in existentially closed valued differential fields ⋮ Uniform rationality of the Poincaré series of definable, analytic equivalence relations on local fields ⋮ Residue field domination in real closed valued fields

Cites Work

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• Real closed rings. II. Model theory
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• On variants of \(o\)-minimality
• Imaginaries in real closed valued fields
• One-Dimensional p -Adic Subanalytic Sets
• T-convexity and tame extensions II
• A version of o-minimality for the p-adics
• Canonical forms for definable subsets of algebraically closed and real closed valued fields
• Rigid Subanalytic Sets

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