On uniqueness of coarse median structures
Abstract
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.
Fields of Study & Subjects
Optimization and Variational Analysis
Analytic and geometric function theory
Point processes and geometric inequalities
Publication details
- Journal / source
- Algebraic & Geometric Topology
- Volume
- 26
- Issue
- 7
- Pages
- 2689–2704
- Publication date
- 1 September 2026
- Language
- EN