NIP Henselian valued fields

DOI10.1007/s00153-019-00685-8zbMath1444.03130arXiv1606.08472OpenAlexW2963516649WikidataQ127579330 ScholiaQ127579330MaRDI QIDQ2288336

Pierre Simon, Franziska Jahnke

Publication date: 17 January 2020

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.08472

zbMATH Keywords

independence propertyNIPHenselian valued fieldsAKE transfer principle

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45) Model theory of fields (12L12) Valued fields (12J10)

Related Items (7)

Model theory: combinatorics, groups, valued fields and neostability. Abstracts from the workshop held January 8--14, 2023 ⋮ Characterizing NIP henselian fields ⋮ Definable valuations on ordered fields ⋮ SATURATED MODELS FOR THE WORKING MODEL THEORIST ⋮ The model theory of Cohen rings ⋮ Strongly dependent ordered abelian groups and Henselian fields ⋮ Burden of Henselian valued fields in the Denef-Pas language

Cites Work

• The algebra and model theory of tame valued fields
• Valued difference fields and \(\mathrm{NTP}_2\)
• The model theory of separably tame valued fields
• Formally \(p\)-adic fields
• Immediate and purely wild extensions of valued fields
• Types in valued fields with coefficient maps
• Artin-Schreier extensions in NIP and simple fields
• Externally definable sets and dependent pairs
• Elementary characterization of fields by their absolute Galois group
• The Theory of Ordered Abelian Groups does not have the Independence Property
• Externally definable sets and dependent pairs II
• A Guide to NIP Theories
• Lectures on the Model Theory of Valued Fields
• Valued Fields

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