Realizing Rotation Vectors for Torus Homeomorphisms
Realizing Rotation Vectors for Torus Homeomorphisms
We consider the rotation set p(F) for a lift F of a homeomorphism f: T2 -+ T2 , which is homotopic to the identity.Our main result is that if a vector v lies in the interior of p(F) and has both coordinates rational, then there is a periodic point x …