AN INDEPENDENCE THEOREM FOR NTP2 THEORIES

DOI10.1017/jsl.2013.22zbMath1337.03043arXiv1207.0289OpenAlexW2963688426MaRDI QIDQ2921023

Itaï Ben Yaacov, Artem Chernikov

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/1207.0289

zbMATH Keywords

forkingresilience\(\mathrm{NTP}_{2}\)Lascar strong typeindependence theoremburden

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45)

Related Items (12)

Pseudo real closed fields, pseudo \(p\)-adically closed fields and \(\mathrm{NTP}_{2}\) ⋮ Forking and dividing in fields with several orderings and valuations ⋮ Non-forking and preservation of NIP and dp-rank ⋮ On Kim-independence ⋮ Theories without the tree property of the second kind ⋮ Mekler's construction and generalized stability ⋮ STABILIZERS, GROUPS WITH -GENERICS, AND PRC FIELDS ⋮ Hereditary G-compactness ⋮ Forking in short and tame abstract elementary classes ⋮ Existentially closed exponential fields ⋮ Dense codense predicates and the NTP₂ ⋮ On amalgamation in NTP\(_2\) theories and generically simple generics

Cites Work

• Strongly dependent theories
• On non-forking spectra
• On NIP and invariant measures
• Lovely pairs of models
• A primer of simple theories
• Dividing and chain conditions
• Dependent first order theories, continued
• GALOIS GROUPS OF FIRST ORDER THEORIES
• Additivity of the dp-rank
• THORN-FORKING AS LOCAL FORKING
• Simple unstable theories
• SIMPLICITY IN COMPACT ABSTRACT THEORIES
• Counting partial types in simple theories
• Zariski geometries

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