By G. Honorato and others

Let *f:S^2\to S^2* be a continuous map such that *deg f = d, |d|>1*. Suppose *f* has two attracting fixed points denoted *N* and *S* and let *A=S^2\setminus \{N,S\}*. Assume that if a loop *\gamma\subset f^{-1}(A)* is homotopically trivial in *A*, then *f(\gamma)* is also homotopically trivial in *A*. Then,... Show more

July 19, 2017

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