Local Lipschitz property of the map which puts in correspondence to N--net its Chebyshev center
| dc.creator | Ivanshin, P. N. | |
| dc.creator | Sosov, E. N. | |
| dc.date | 2005-09-13 | |
| dc.date | 2007-11-28 | |
| dc.date.accessioned | 2026-07-07T08:45:29Z | |
| dc.date.available | 2026-07-07T08:45:29Z | |
| dc.description | We prove local Lipschitz property of the map which puts in correspondence to each $N$--net different from $(N-1)$--net its Chebyshev center. If dimension of Eucledean or Lobachevskii space is greater than 1 and net consists of more than 2 points we show that this map is not Lipschits in a neighbourhood of the space of 2--nets embedded into the space of all $N$--nets endowed by Hausdorff metric. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509275 | |
| dc.identifier | http://arxiv.org/abs/math/0509275 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142977 | |
| dc.subject | Metric Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 54E40; 53C70 | |
| dc.title | Local Lipschitz property of the map which puts in correspondence to N--net its Chebyshev center | |
| dc.type | text |