Wild theories with o-minimal open core

DOI10.1016/j.apal.2017.10.002zbMath1404.03034arXiv1707.02062OpenAlexW2964319612MaRDI QIDQ1682898

Philipp Hieronymi, Erik Walsberg, Travis Nell

Publication date: 6 December 2017

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02062

zbMATH Keywords

o-minimalityNIPopen coredistal expansionexpansions of densely ordered groupsnoiseless expansion

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Interpolation, preservation, definability (03C40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Model theory of ordered structures; o-minimality (03C64) Quantifier elimination, model completeness, and related topics (03C10)

Related Items (4)

Distal and non‐distal behavior in pairs ⋮ Pairs of theories satisfying a Mordell–Lang condition ⋮ Metric dimensions and tameness in expansions of the real field ⋮ Expansions of the real field by discrete subgroups of 𝐺𝑙_{𝑛}(ℂ)

Cites Work

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• Expansions of o-minimal structures by dense independent sets
• Geometric structures with a dense independent subset
• Interpreting the monadic second order theory of one successor in expansions of the real line
• Distal and non-distal NIP theories
• Regularity lemma for distal structures
• Expansions of o-minimal structures by sparse sets
• Adding linear orders
• Dependent pairs
• The independence property in generalized dense pairs of structures
• Structures having o-minimal open core
• A Guide to NIP Theories
• Expansions which introduce no new open sets
• DISTAL AND NON-DISTAL PAIRS

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