A note on sensitivity of semigroup actions
| dc.creator | Kontorovich, Eduard | |
| dc.creator | Megrelishvili, Michael | |
| dc.date | 2006-07-18 | |
| dc.date.accessioned | 2026-07-07T07:20:40Z | |
| dc.date.available | 2026-07-07T07:20:40Z | |
| dc.description | It is well known that for a transitive dynamical system (X,f) sensitivity to initial conditions follows from the assumption that the periodic points are dense. This was done by several authors: Banks, Brooks, Cairns, Davis and Stacey, Silverman, and also by Glasner and Weiss. In the latter article Glasner and Weiss established a stronger result (for compact metric systems) which implies that a transitive non-minimal compact metric system (X,f) with dense set of almost periodic points is sensitive. This is true also for group actions as was proved in a recent book of Glasner. Our aim is to generalize these results in the frame of a unified approach for a wide class of topological semigroup actions including one-parameter semigroup actions on Polish spaces. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607440 | |
| dc.identifier | http://arxiv.org/abs/math/0607440 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115029 | |
| dc.subject | Dynamical Systems | |
| dc.subject | General Topology | |
| dc.subject | 54H15; 37Bxx | |
| dc.title | A note on sensitivity of semigroup actions | |
| dc.type | text |