Definable Regularity Lemmas for Nip Hypergraphs
نویسندگان
چکیده
Abstract We present a systematic study of the regularity phenomena for NIP hypergraphs and connections to theory (locally) generically stable measures, providing model-theoretic hypergraph version results Alon-Fischer-Newman Lov\'asz-Szegedy graphs bounded VC-dimension. also consider two extremal cases distal hypergraphs, improving generalizing corresponding in literature. Finally, we related question existence large (approximately) homogeneous definable subsets provide some positive counterexamples, particular p-adics.
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ژورنال
عنوان ژورنال: Quarterly Journal of Mathematics
سال: 2021
ISSN: ['0033-5606', '1464-3847']
DOI: https://doi.org/10.1093/qmath/haab011