Lectures on the Model Theory of Valued Fields

DOI10.1007/978-3-642-54936-6_4zbMath1347.03074OpenAlexW2227087337MaRDI QIDQ5256623

L. P. D. van den Dries

Publication date: 19 June 2015

Published in: Model Theory in Algebra, Analysis and Arithmetic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-54936-6_4

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Model theory of fields (12L12) Valued fields (12J10)

Related Items (19)

The domination monoid in o-minimal theories ⋮ Combinatorial properties of nonarchimedean convex sets ⋮ Strongly NIP almost real closed fields ⋮ Between the Rings $${\mathbb Z}/p^n{\mathbb Z}$$ and the Ring $${\mathbb Z}_p$$: Issues of Axiomatizability, Definability and Decidability ⋮ Valued quantum B-algebras ⋮ Burden in Henselian valued fields ⋮ Spherically complete models of Hensel minimal valued fields ⋮ Characterizing NIP henselian fields ⋮ Elimination of imaginaries in C((Γ))$\mathbb {C}((\Gamma ))$ ⋮ Decidability via the tilting correspondence ⋮ Definable valuations on ordered fields ⋮ Notes on model theory of modules over Dedekind domains ⋮ The model theory of Cohen rings ⋮ Eliminating field quantifiers in strongly dependent henselian fields ⋮ Model theory of finite and pseudofinite groups ⋮ NIP Henselian valued fields ⋮ A CONJECTURAL CLASSIFICATION OF STRONGLY DEPENDENT FIELDS ⋮ Strongly dependent ordered abelian groups and Henselian fields ⋮ A note on \(\mu\)-stabilizers in ACVF

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