On a common generalization of Shelah's 2-rank, dp-rank, and o-minimal dimension

DOI10.1016/j.apal.2014.11.007zbMath1372.03063arXiv1307.4113OpenAlexW2071370397MaRDI QIDQ2514848

Cameron Donnay Hill, Vincent Guingona

Publication date: 4 February 2015

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

Full work available at URL: https://arxiv.org/abs/1307.4113

zbMATH Keywords

2-rankdp-ranko-minimalop-dimensionop-rank

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Ultraproducts and related constructions (03C20) Model theory of ordered structures; o-minimality (03C64) Other classical first-order model theory (03C68)

Related Items (6)

MODEL THEORY AND COMBINATORICS OF BANNED SEQUENCES ⋮ Ranks based on strong amalgamation Fraïssé classes ⋮ NIP ω$\omega$‐categorical structures: The rank 1 case ⋮ Characterizing model-theoretic dividing lines via collapse of generalized indiscernibles ⋮ Linear orders in NIP structures ⋮ THICKET DENSITY

Cites Work

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• Characterization of NIP theories by ordered graph-indiscernibles
• Strongly dependent theories
• Characterizing model-theoretic dividing lines via collapse of generalized indiscernibles
• Dp-minimality: basic facts and examples
• Classification theory and the number of non-isomorphic models
• Distal and non-distal NIP theories
• Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups
• Dependent first order theories, continued
• Additivity of the dp-rank
• THE NON-AXIOMATIZABILITY OF O-MINIMALITY
• On Vapnik‐Chervonenkis density over indiscernible sequences
• Dependent theories and the generic pair conjecture

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