Injectivity of differentiable maps R^2 --> R^2 at infinity
| dc.creator | Gutierrez, Carlos | |
| dc.creator | Rabanal, Roland | |
| dc.date | 2006-01-13 | |
| dc.date | 2006-03-06 | |
| dc.date.accessioned | 2026-07-07T06:58:52Z | |
| dc.date.available | 2026-07-07T06:58:52Z | |
| dc.description | The main result given in Theorem~1.1 is a condition for a map $X$, defined on the complement of a disk $D$ in R^2 with values in R^2, to be extended to a topological embedding of R^2, not necessarily surjective. The map $X$ is supposed to be just differentiable with the condition that, for some $e>0,$ at each point the eigenvalues of the differential do not belong to the real interval $(-e,\infty).$ The extension is obtained by restricting X to the complement of some larger disc. The result has important connections with the property of asymptotic stability at infinity for differentiable vector fields. | |
| dc.description | to appear in Bulletin of the Brazilian Mathematical Society | |
| dc.identifier | https://arxiv.org/abs/math/0601325 | |
| dc.identifier | http://arxiv.org/abs/math/0601325 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107536 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 26B99, 58C25 (Primary); 37E30, 37C10 (Secondary) | |
| dc.title | Injectivity of differentiable maps R^2 --> R^2 at infinity | |
| dc.type | text |