CONVEXLY ORDERABLE GROUPS AND VALUED FIELDS

DOI10.1017/jsl.2013.16zbMath1337.03049arXiv1210.0404OpenAlexW2963501333MaRDI QIDQ2921025

Vincent Guingona, Joseph Flenner

Publication date: 30 September 2014

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0404

zbMATH Keywords

abelian groupsordered groupsconvexly orderableVC-minimalityvalued fields

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Ordered groups (06F15) Model theory of ordered structures; o-minimality (03C64) Valued fields (12J10)

Related Items (6)

On VC-minimal theories and variants ⋮ On VC-minimal fields and dp-smallness ⋮ Strong theories of ordered Abelian groups ⋮ Canonical forests in directed families ⋮ A local characterization of VC-minimality ⋮ On VC-density in VC-minimal theories

Cites Work

• Dp-minimality: basic facts and examples
• On dp-minimal ordered structures
• Definable Sets in Ordered Structures. I
• Weakly o-minimal structures and real closed fields
• Canonical forms for definable subsets of algebraically closed and real closed valued fields
• Elementary properties of Abelian groups

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