3 papers
math.LO2026
Abstract independence relations in neostability theory
Alberto Miguel-Gómez
We develop a framework, in the style of Adler, for interpreting the notion of "witnessing" that has appeared (usually as a variant of Kim's Lemma) in different areas of neostabilit…
math.LO2025
Classification properties for some ternary structures
Alberto Miguel-Gómez
We provide a model-theoretic classification of the countable homogeneous -free 3-hypertournament studied by Cherlin, HubiÄka, KoneÄný, and NeÅ¡etÅil. Our main res…
math.LO2025
On stable Kim-forking and rosy theories
Alberto Miguel-Gómez
We provide a partial answer to a question asked independently by Kim and d'Elbée and show that, under the assumption of the stable Kim-forking conjecture, every …