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.
| Zugehörige Institution(en) am KIT | Institut für Algebra und Geometrie (IAG) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsdatum | 01.09.2026 |
| Sprache | Englisch |
| Identifikator | ISSN: 1472-2739, 1472-2747 KITopen-ID: 1000197051 |
| Erschienen in | ALGEBRAIC AND GEOMETRIC TOPOLOGY |
| Verlag | Mathematical Sciences Publishers (MSP) |
| Band | 26 |
| Heft | 7 |
| Seiten | 2689–2704 |
| Schlagwörter | coarse median, relatively hyperbolic, mapping class group |
| Nachgewiesen in | Scopus OpenAlex |