| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660086 | Topology and its Applications | 2008 | 8 Pages |
Abstract
If one tries to embed a metric space uniformly in Hilbert space, how close to quasi-isometric could the embedding be? We answer this question for finite dimensional CAT(0) cube complexes and for hyperbolic groups. In particular, we show that the Hilbert space compression of any hyperbolic group is 1.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
