On the growth rate inequality for periodic points in the two sphere

G. Honorato, J. Iglesias, A. Portela +3

Let $f:S^2\to S^2$ be a continuous map such that $degf=d,|d|>1$. Suppose $f$ has two attracting fixed points denoted $N$ and $S$ and let $A=S^2\setminus \{N,S\}$. Assume that i…