On uniqueness of coarse median structures
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.
Authors
- Elia Fioravanti (ORCID: https://orcid.org/0000-0001-5038-9876)
- Alessandro Sisto
Publication Details
- Journal
- KITopen
- Published
- 2026-09-17
- DOI
- https://doi.org/10.5445/ir/1000197051
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00