Periodic points of covering maps of the annulus
Resumen:
Let f be a covering map of the open annulus A = S1 × (0, 1) of degree d , |d| > 1. Assume that f preserves an essential (i.e not contained in a disk of A) compact subset K. We show that f has at least the same number of periodic points in each period as the map zd in S1.
| 2016 | |
| Dynamical Systems | |
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/55006 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| Sumario: | Publicado en arXiv y en Fundamenta Mathematicae, 235 (2016), pp. 257-276, con el titulo "Dynamics of annulus maps II: Periodic points for coverings". |
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