Classification properties for some ternary structures

Autor:	Miguel-Gómez, Alberto
Rok vydání:	2024
Předmět:	Mathematics - Logic Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	We provide a model-theoretic classification of the countable homogeneous $\mathbf{H}_4$-free 3-hypertournament studied by Cherlin, Hubi\v{c}ka, Kone\v{c}n\'y, and Ne\v{s}et\v{r}il. Our main result is that the theory of this structure is $\mathrm{SOP}_3$, $\mathrm{TP}_2$, and $\mathrm{NSOP}_4$. 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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.04381 Zobrazit plný text záznamu View this record from Arxiv