On uniqueness of coarse median structures
Elia Fioravanti, Alessandro Sisto · Algebraic & Geometric Topology · 2026
We show that any product of bushy hyperbolic spaces has a unique coarse median structure, and that having a unique coarse median structure is a property closed under relative hyperbolicity.As a consequence, in contrast with the case of mapping class groups, there are nonhyperbolic pants graphs that have unique coarse median structures.