Classification properties for some ternary structures
Abstract
We provide a model-theoretic classification of the countable homogeneous H4-free 3-hypertournament studied by Cherlin, Hubicka, Konecn\'y, and Nesetril. Our main result is that the theory of this structure is SOP3, TP2, and NSOP4. We offer two proofs of this fact: one is a direct proof, and the other employs part of the abstract machinery recently developed by Mutchnik.
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