We introduce and study a local combinatorial condition, called the -condition, on a simplicial complex, implying Gromov hyperbolicity of its universal cover. We hereby give an application of another combinatorial condition, called -location, introduced by Damian Osajda. Along the way we prove the minimal filling diagrams lemma for -complexes.
"Minimal Disc Diagrams of -Simplicial Complexes." Michigan Math. J. 69 (4) 793 - 829, October 2020. https://doi.org/10.1307/mmj/1585706557