Applications of Nielsen theory to dynamics
Volume 49 / 1999
Banach Center Publications 49 (1999), 203-221
DOI: 10.4064/-49-1-203-221
Abstract
In this talk, we shall look at the application of Nielsen theory to certain questions concerning the "homotopy minimum" or "homotopy stability" of periodic orbits under deformations of the dynamical system. These applications are mainly to the dynamics of surface homeomorphisms, where the geometry and algebra involved are both accessible.