Attracting sets on surfaces
Resumen:
Let f be a continuous endomorphism of a surface M, and A an attracting set such that the restriction f|A : A → A is a d : 1 covering map. We show that if f is a local homeomorphism, then f is also a d : 1 covering of the immediate basin of A. Moreover, the techniques provide a characterization of invariant d : 1 continua on surfaces. These results are no longer true on manifolds of dimensions at least three.
| 2015 | |
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Dynamical systems on surfaces Attracting sets |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/55042 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
