Definable V-topologies, Henselianity and NIP

DOI10.1142/S0219061320500087zbMath1472.03035arXiv1901.05920OpenAlexW2976200216WikidataQ127219528 ScholiaQ127219528MaRDI QIDQ5118049

Franziska Jahnke, Yatir Halevi, Assaf Hasson

Publication date: 4 September 2020

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

Full work available at URL: https://arxiv.org/abs/1901.05920

zbMATH Keywords

definable \(V\)-topologiesHenselianity conjectureNIP valued fieldsShelah conjecture

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 (8)

Dp-minimal integral domains ⋮ ON NON-COMPACT p-ADIC DEFINABLE GROUPS ⋮ Forking and dividing in fields with several orderings and valuations ⋮ Distality in valued fields and related structures ⋮ Characterizing NIP henselian fields ⋮ Definable valuations on ordered fields ⋮ The classification of dp-minimal and dp-small fields ⋮ A CONJECTURAL CLASSIFICATION OF STRONGLY DEPENDENT FIELDS

Cites Work

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• Pseudo real closed fields, pseudo \(p\)-adically closed fields and \(\mathrm{NTP}_{2}\)
• On VC-minimal fields and dp-smallness
• A classification of Artin-Schreier defect extensions and characterizations of defectless fields
• Elimination of quantifiers in algebraic structures
• Algebraic number fields elementarily determined by their absolute Galois group
• \(p\)-Henselian fields
• Uniformly defining \(p\)-Henselian valuations
• Introduction to Grothendieck duality theory
• Some model theory for almost real closed fields
• Definable Valuations Induced by Definable Subgroups
• Field Arithmetic
• Weakly o-minimal structures and real closed fields
• The canonical topology on dp-minimal fields
• Imaginaries in separably closed valued fields
• Model Theory
• Valuation theoretic and model theoretic aspects of local uniformization
• A CONJECTURAL CLASSIFICATION OF STRONGLY DEPENDENT FIELDS
• DEFINABLE HENSELIAN VALUATIONS
• A Guide to NIP Theories
• Diophantine Problems Over Local Fields I
• Valued Fields
• DP-MINIMAL VALUED FIELDS

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