Burden of Henselian valued fields in the Denef-Pas language

DOI10.1215/00294527-2022-0026OpenAlexW3164683512MaRDI QIDQ2108576

Peter Sinclair

Publication date: 19 December 2022

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.10593

zbMATH Keywords

\(\mathrm{NTP}_2\)dp-rankvalued fieldsDenef-Pas languageHenselianburden

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45) Non-Archimedean valued fields (12J25) Valued fields (12J10)

Cites Work

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• The algebra and model theory of tame valued fields
• Theories without the tree property of the second kind
• Classification theory and the number of non-isomorphic models.
• Types in valued fields with coefficient maps
• NIP Henselian valued fields
• Maximal fields with valuations
• The model theory of Cohen rings
• Uniform p-adic cell decomposition and local zeta functions.
• Eliminating field quantifiers in strongly dependent henselian fields
• HENSELIAN VALUED FIELDS AND inp-MINIMALITY
• Valued Fields
• On the angular component map modulo P

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