Minimal Disc Diagrams of 5 / 9 -Simplicial Complexes

Ioana‐Claudia Lazăr · The Michigan Mathematical Journal · 2020

We introduce and study a local combinatorial condition, called the 5 / 9 -condition, on a simplicial complex, implying Gromov hyperbolicity of its universal cover. We hereby give an application of another combinatorial condition, called 8 -location, introduced by Damian Osajda. Along the way we prove the minimal filling diagrams lemma for 5 / 9 -complexes.

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