The asymptotic rank of metric spaces
| dc.creator | Wenger, Stefan | |
| dc.date | 2007-01-08 | |
| dc.date | 2008-10-20 | |
| dc.date.accessioned | 2026-07-07T10:11:18Z | |
| dc.date.available | 2026-07-07T10:11:18Z | |
| dc.description | In this article we define and study a notion of asymptotic rank for metric spaces and show in our main theorem that for a large class of spaces, the asymptotic rank is characterized by the growth of the higher filling functions. For a proper, cocompact, simply-connected geodesic metric space of non-curvature in the sense of Alexandrov the asymptotic rank equals its Euclidean rank. | |
| dc.description | Theorem 4.1 in Version 2 and its proof have been moved into a new paper, see reference in the new version. Some new references have been added | |
| dc.identifier | https://arxiv.org/abs/math/0701212 | |
| dc.identifier | http://arxiv.org/abs/math/0701212 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171824 | |
| dc.subject | Differential Geometry | |
| dc.subject | Metric Geometry | |
| dc.title | The asymptotic rank of metric spaces | |
| dc.type | text |