On non-forking spectra

DOI10.4171/JEMS/654zbMathNonearXiv1205.3101OpenAlexW2962857921MaRDI QIDQ502150

Saharon Shelah, Itay Kaplan, Artem Chernikov

Publication date: 30 December 2016

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3101

zbMATH Keywords

forkingcardinal arithmeticNIPcircularizationDedekind cutsdividingNTP2

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Set-theoretic model theory (03C55) Abstract model theory (03C95)

Related Items (9)

Chains, antichains, and complements in infinite partition lattices ⋮ EXAMPLES IN DEPENDENT THEORIES ⋮ AN INDEPENDENCE THEOREM FOR NTP2 THEORIES ⋮ Theories without the tree property of the second kind ⋮ Mekler's construction and generalized stability ⋮ A definable \((p,q)\)-theorem for NIP theories ⋮ An infinite cardinal-valued Krull dimension for rings ⋮ Forking in short and tame abstract elementary classes ⋮ Onn-dependent groups and fields II

Cites Work

• Theories without the tree property of the second kind
• On NIP and invariant measures
• Around classification theory of models
• Classification theory and the number of non-isomorphic models.
• Simple theories
• Asymptotic cones of finitely presented groups
• Model theory for infinitary logic. Logic with countable conjunctions and finite quantifiers
• ON THE NUMBER OF DEDEKIND CUTS AND TWO-CARDINAL MODELS OF DEPENDENT THEORIES
• Théories instables
• Simple unstable theories
• Almost-disjoint sets the dense set problem and the partition calculus
• Forking in Simple Unstable Theories
• Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory
• Set Theory
• Forking and Dividing in NTP₂ theories
• Aronszajn trees and the independence of the transfer property
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