Notions around tree property 1

DOI10.1016/j.apal.2011.02.001zbMath1241.03039OpenAlexW1972476125MaRDI QIDQ639673

Hyeung-Joon Kim, Byunghan Kim

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.apal.2011.02.001

zbMATH Keywords

tree propertyfully tree indiscernible sequence

Mathematics Subject Classification ID

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

Related Items (11)

Theories without the tree property of the second kind ⋮ On the antichain tree property ⋮ A preservation theorem for theories without the tree property of the first kind ⋮ \(\mathrm{SOP}_1\), \(\mathrm{SOP}_2\), and antichain tree property ⋮ Tree indiscernibilities, revisited ⋮ More on tree properties ⋮ FORKING, IMAGINARIES, AND OTHER FEATURES OF ⋮ Characterizing model-theoretic dividing lines via collapse of generalized indiscernibles ⋮ On the existence of indiscernible trees ⋮ Dense codense predicates and the NTP₂ ⋮ AN AXIOMATIC APPROACH TO FREE AMALGAMATION

Cites Work

• Unnamed Item
• Characterization of NIP theories by ordered graph-indiscernibles
• More on \(\mathrm{SOP}_1\) and \(\mathrm{SOP}_2\)
• Simple theories
• On \(\vartriangleleft^{*}\)-maximality.
• Toward classifying unstable theories
• Simplicity, and stability in there
• Introduction to Ramsey Spaces (AM-174)
• Simple unstable theories
• Properties of forking in ω-free pseudo-algebraically closed fields
• Characterizing rosy theories
• A Partition Theorem

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