3 papers
math.DS2016
An elementary proof of a Theorem by Matsumoto
Luis Hernandez-Corbato
Matsumoto proved in arXiv:1012.0981 that the prime end rotation numbers associated to an invariant annular continuum are contained in its rotation set. An alternative proof of this…
math.DS2016
Indices of fixed points not accumulated by periodic points
Luis Hernandez-Corbato
We prove that for every integer sequence satisfying Dold relations there exists a map , , such that $\mathrm{Per(f)} = \mathrm{Fix(f…
math.DS2016
Fixed point indices of planar continuous maps
Luis Hernandez-Corbato, Francisco R. Ruiz del Portal
We characterize the sequences of fixed point indices of fixed points that are isolated as an invariant set and continuous maps in the plane. In particular,…