Definable valuations on ordered fields

DOI10.2140/mt.2023.2.101arXiv2206.15301OpenAlexW4382047970MaRDI QIDQ6166188

Franziska Jahnke, Philip Dittmann, Salma Kuhlmann, Lothar Sebastian Krapp

Publication date: 2 August 2023

Published in: Model Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.15301

zbMATH Keywords

ordered fieldsconvex valuationsalmost real closed fieldshenselian valuationsdefinable valuationsstably embedded

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Formal power series rings (13F25) Model theory of ordered structures; o-minimality (03C64) Model theory of fields (12L12) Real algebra (13J30) General valuation theory for fields (12J20)

Cites Work

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• Definable V-topologies, Henselianity and NIP
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• Valued Fields
• DP-MINIMAL VALUED FIELDS
• Hensel minimality I
• DEFINABILITY OF HENSELIAN VALUATIONS BY CONDITIONS ON THE VALUE GROUP

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