Quasi-metric spaces with measure
| dc.creator | Stojmirovic, Aleksandar | |
| dc.date | 2003-11-06 | |
| dc.date.accessioned | 2026-07-07T06:24:36Z | |
| dc.date.available | 2026-07-07T06:24:36Z | |
| dc.description | The phenomenon of concentration of measure on high dimensional structures is usually stated in terms of a metric space with a Borel measure, also called an mm-space. We extend some of the mm-space concepts to the setting of a quasi-metric space with probability measure (pq-space). Our motivation comes from biological sequence comparison: we show that many common similarity measures on biological sequences can be converted to quasi-metrics. We show that a high dimensional pq-space is very close to being an mm-space. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311070 | |
| dc.identifier | http://arxiv.org/abs/math/0311070 | |
| dc.identifier | Topology Proceedings Vol. 28 (2004), No. 2, 655-671 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96601 | |
| dc.subject | General Topology | |
| dc.subject | 54E55; 28C15; 92C40 | |
| dc.title | Quasi-metric spaces with measure | |
| dc.type | text |