An elementary proof of a Theorem by Matsumoto

2016/05/27 by Hernandez-Corbato, Luis · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/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.

Cited by

• Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs

Related

• Realizing rotation numbers on annular continua
• Rotation sets of invariant separating continua of annular homeomorphisms
• Homeomorphisms of UxR and rotation number
• Pseudo-rotations of the closed annulus : variation on a theorem of J. Kwapisz
• Rotation and periodicity in plane separating continua