Nilpotent extensions of minimal homeomorphisms
| dc.creator | Greschonig, Gernot | |
| dc.creator | Haboeck, Ulrich | |
| dc.date | 2005-02-20 | |
| dc.date.accessioned | 2026-07-07T05:17:20Z | |
| dc.date.available | 2026-07-07T05:17:20Z | |
| dc.description | In this paper we study topological cocycles for minimal homeomorphisms on a compact metric space. We introduce a notion of an essential range for topological cocycles with values in a locally compact group, and we show that this notion coincides with the well known topological essential range if the group is abelian. We define then a regularity condition for cocycles and prove several results on the essential ranges and the orbit closures of the skew product of regular cocycles. Furthermore we show that recurrent cocycles for a minimal rotation on a locally connected compact group are always regular, supposed that their ranges are in a nilpotent group, and then their essential ranges are almost connected. | |
| dc.identifier | https://arxiv.org/abs/math/0502431 | |
| dc.identifier | http://arxiv.org/abs/math/0502431 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74264 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37B05; 37B20 | |
| dc.title | Nilpotent extensions of minimal homeomorphisms | |
| dc.type | text |