On Invariant Sets of Diffeomorphisms
arXiv:1406.6769
Abstract
We give a simple upper bound for the upper box dimension of a backward invariant set of a -diffeomorphism of a Riemannian manifold. We also estimate an upper bound for the box dimension of a forward invariant set of a -mapping with finite Brouwer degree in a Riemannian manifold.
9 Pages