Euclidean quotients of finite metric spaces
| dc.creator | Mendel, Manor | |
| dc.creator | Naor, Assaf | |
| dc.date | 2004-06-17 | |
| dc.date.accessioned | 2026-07-07T05:09:20Z | |
| dc.date.available | 2026-07-07T05:09:20Z | |
| dc.description | This paper is devoted to the study of quotients of finite metric spaces. The basic type of question we ask is: Given a finite metric space M, what is the largest quotient of (a subset of) M which well embeds into Hilbert space. We obtain asymptotically tight bounds for these questions, and prove that they exhibit phase transitions. We also study the analogous problem for embedings into l_p, and the particular case of the hypercube. | |
| dc.description | 36 pages, 0 figures. To appear in Advances in Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0406349 | |
| dc.identifier | http://arxiv.org/abs/math/0406349 | |
| dc.identifier | Adv. Math. 189(2) 451-494, 2004 | |
| dc.identifier | doi:10.1016/j.aim.2003.12.001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71591 | |
| dc.subject | Metric Geometry | |
| dc.title | Euclidean quotients of finite metric spaces | |
| dc.type | text |