On asymptotic dimension and a property of Nagata
| dc.creator | Higes, J. | |
| dc.creator | Mitrra, A. | |
| dc.date | 2008-12-09 | |
| dc.date.accessioned | 2026-07-07T12:10:47Z | |
| dc.date.available | 2026-07-07T12:10:47Z | |
| dc.description | In this note we prove that every metric space $(X, d)$ of asymptotic dimmension at most $n$ is coarsely equivalent to a metric space $(Y, D)$ that satisfies the following property of Nagata: For every $n+2$ points $y_1,..., y_{n+2}$ in $Y$ and for every $x$ in $Y$ there exist two different $i,j$ such that $D(y_i,y_j)\le D(x,y_i)$. This solves problem 1400 of the book Open problems in Topology II. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/0812.1641 | |
| dc.identifier | http://arxiv.org/abs/0812.1641 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210029 | |
| dc.subject | Metric Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 54F45, 54C55 (Primary), 54E35, 18B30, 20H15 (Secondary) | |
| dc.title | On asymptotic dimension and a property of Nagata | |
| dc.type | text |