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arXiv · 2502.13865

On uniqueness of coarse median structures

Elia Fioravanti·Alessandro Sisto
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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.

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Elia Fioravanti, Alessandro Sisto. 2025-02-19. On uniqueness of coarse median structures. https://doi.org/10.2140/agt.2026.26.2689

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