On VC-minimal fields and dp-smallness

DOI10.1007/s00153-014-0376-9zbMath1354.03047arXiv1307.8004OpenAlexW2028101264MaRDI QIDQ403395

Vincent Guingona

Publication date: 29 August 2014

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

Full work available at URL: https://arxiv.org/abs/1307.8004

zbMATH Keywords

convexly orderableordered fieldsVC-minimal

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45) Ordered fields (12J15) Model theory of fields (12L12)

Related Items (6)

The canonical topology on dp-minimal fields ⋮ The classification of dp-minimal and dp-small fields ⋮ Definable V-topologies, Henselianity and NIP ⋮ Canonical forests in directed families ⋮ DP-MINIMAL VALUED FIELDS ⋮ A local characterization of VC-minimality

Cites Work

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• On VC-minimal theories and variants
• Dp-minimality: basic facts and examples
• Elimination of quantifiers in algebraic structures
• CONVEXLY ORDERABLE GROUPS AND VALUED FIELDS
• On stable fields and weight
• On dp-minimal ordered structures
• On dp-minimality, strong dependence and weight
• Notes on the stability of separably closed fields
• Weakly o-minimal structures and real closed fields
• Forking in VC-minimal theories
• A monotonicity theorem for dp-minimal densely ordered groups
• Canonical forests in directed families

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