Coarse medians and universal quasigeodesic cones
Metric Geometry
2026-03-17 v1 Group Theory
Abstract
We show that any universal quasigeodesic cone of uniformly coarse median spaces admits a canonical coarse median structure. As an application, we recover a result of Bowditch which states that any hierarchically hyperbolic space admits a coarse median structure compatible with the projections to the hyperbolic factor spaces.
Cite
@article{arxiv.2603.15264,
title = {Coarse medians and universal quasigeodesic cones},
author = {Robert Tang},
journal= {arXiv preprint arXiv:2603.15264},
year = {2026}
}
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12 pages