Periodic points of covering maps of the annulus

Iglesias, Jorge - Portela, Aldo - Rovella, Álvaro - Xavier, Juliana

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.

Detalles Bibliográficos
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)