Characterizing model-theoretic dividing lines via collapse of generalized indiscernibles

DOI10.1016/j.apal.2016.11.007zbMath1422.03069arXiv1511.07245OpenAlexW2962894074MaRDI QIDQ515567

Cameron Donnay Hill, Vincent Guingona, Lynn Scow

Publication date: 16 March 2017

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

Full work available at URL: https://arxiv.org/abs/1511.07245

zbMATH Keywords

collapserosygeneralized indiscerniblesNTP2op-dimension

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 (8)

Ranks based on strong amalgamation Fraïssé classes ⋮ Products of classes of finite structures ⋮ On the number of independent orders ⋮ Ramsey transfer to semi-retractions ⋮ On positive local combinatorial dividing-lines in model theory ⋮ Distinct volume subsets via indiscernibles ⋮ On a common generalization of Shelah's 2-rank, dp-rank, and o-minimal dimension ⋮ A separation theorem for simple theories

Cites Work

• New Ramsey classes from old
• Characterization of NIP theories by ordered graph-indiscernibles
• Notions around tree property 1
• Classification theory and the number of non-isomorphic models
• Toward classifying unstable theories
• Ramsey property, ultrametric spaces, finite posets, and universal minimal flows
• Tree indiscernibilities, revisited
• On a common generalization of Shelah's 2-rank, dp-rank, and o-minimal dimension
• Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups
• The characteristic sequence of a first-order formula
• Simple unstable theories
• Characterizing rosy theories

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