Concentration points for Fuchsian groups
| dc.creator | Hong, Sungbok | |
| dc.creator | McCullough, Darryl | |
| dc.date | 1998-06-23 | |
| dc.date.accessioned | 2026-07-07T05:25:09Z | |
| dc.date.available | 2026-07-07T05:25:09Z | |
| dc.description | A limit point p of a discrete group of Mobius transformations acting on S^n is called a concentration point if for any sufficiently small connected open neighborhood U of p, the set of translates of U contains a local basis for the topology of S^n at p. For the case of Fuchsian groups (n = 1), every concentration point is a conical limit point, but even for finitely generated groups not every conical limit point is a concentration point. A slightly weaker concentration condition is given which is satisfied if and only if p is a conical limit point, but not all conical limit points satisfy it. Examples are given that clarify the relations between various concentration conditions. | |
| dc.description | 24 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/math/9806122 | |
| dc.identifier | http://arxiv.org/abs/math/9806122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77076 | |
| dc.subject | Geometric Topology | |
| dc.subject | 20H10 (primary), 57M50 (secondary) | |
| dc.title | Concentration points for Fuchsian groups | |
| dc.type | text |