Coarse medians and universal quasigeodesic cones
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911519637241856 |
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| author | Tang, Robert |
| author_facet | Tang, Robert |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15264 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Coarse medians and universal quasigeodesic cones Tang, Robert Metric Geometry Group Theory 51F30, 20F65 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. |
| title | Coarse medians and universal quasigeodesic cones |
| topic | Metric Geometry Group Theory 51F30, 20F65 |
| url | https://arxiv.org/abs/2603.15264 |