Hypergraph Regularity Lemmas and the Turán Density of High-Dimensional Simplicial Complexes
Abstract
A rigorous derivation of the Turán density for d-dimensional simplicial complexes utilizing a hypergraph regularity lemma with cohomological boundary constraints and transfinite filtration limits.
Fields of Study & Subjects
Topological and Geometric Data Analysis
Commutative Algebra and Its Applications
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 January 2026