On uniqueness of coarse median structures

Published 19 Feb 2025 in math.GR, math.GT, and math.MG | (2502.13865v1)

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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