An elementary proof of a Theorem by Matsumoto
arXiv:1605.08731
Abstract
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 fact using only simple planar topology is presented.
7 pages, 2 figures. Final version to appear in Nagoya Math. J