Geodesic
Dynamics of annulus maps II: Periodic points for coverings
Jorge Iglesias1 ; Aldo Portela1 ; Álvaro Rovella2 ; Juliana Xavier1
1 IMERL, Facultad de Ingeniería Montevideo, Uruguay
2 CMAT, Facultad de Ciencias Montevideo, Uruguay
Fundamenta Mathematicae, Tome 235 (2016) no. 3, pp. 257-276.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $f$ be a covering map of the open annulus $A= S^1\times (0,1)$ of degree $d$, $|d| \gt 1$. 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 $z^d$ on $S^1.$
DOI : 10.4064/fm89-6-2016
Keywords: covering map annulus times degree nbsp assume preserves essential contained disk compact subset has least number periodic points each period map

Jorge Iglesias 1 ; Aldo Portela 1 ; Álvaro Rovella 2 ; Juliana Xavier 1

1 IMERL, Facultad de Ingeniería Montevideo, Uruguay
2 CMAT, Facultad de Ciencias Montevideo, Uruguay 
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Jorge Iglesias; Aldo Portela; Álvaro Rovella; Juliana Xavier. Dynamics of annulus maps II: Periodic points for coverings. Fundamenta Mathematicae, Tome 235 (2016) no. 3, pp. 257-276. doi : 10.4064/fm89-6-2016. http://geodesic.mathdoc.fr/articles/10.4064/fm89-6-2016/

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