On uniqueness of coarse median structures
Group Theory
2025-02-20 v1 Geometric Topology
Metric Geometry
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 non-hyperbolic pants graphs that have unique coarse median structures.
Keywords
Cite
@article{arxiv.2502.13865,
title = {On uniqueness of coarse median structures},
author = {Elia Fioravanti and Alessandro Sisto},
journal= {arXiv preprint arXiv:2502.13865},
year = {2025}
}
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11 pages