\(\mathrm{SOP}_1\), \(\mathrm{SOP}_2\), and antichain tree property

DOI10.1016/j.apal.2023.103402arXiv2003.10030OpenAlexW3012842698MaRDI QIDQ6145039

Unnamed Author, Unnamed Author

Publication date: 8 January 2024

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

Full work available at URL: https://arxiv.org/abs/2003.10030

zbMATH Keywords

tree property\(\mathrm{SOP}_1\)\(\mathrm{SOP}_2\)tree indiscernibility

Mathematics Subject Classification ID

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

Cites Work

• Indiscernibles, EM-types, and Ramsey classes of trees
• Notions around tree property 1
• On the existence of indiscernible trees
• More on \(\mathrm{SOP}_1\) and \(\mathrm{SOP}_2\)
• On \(\vartriangleleft^{*}\)-maximality.
• Tree indiscernibilities, revisited
• Generic expansion and Skolemization in \(\mathrm{NSOP}_{1}\) theories
• Simplicity Theory
• On model-theoretic tree properties
• A Guide to NIP Theories
• Groups and fields with $\operatorname {NTP}_{2}$
• Unnamed Item

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