Abstract
Let f:M→M be a diffeomorphism of a finite dimension, smooth compact Riemannian manifold M. In this paper, we demonstrate that if a diffeomorphism f lies within the C1 interior of the set of all chain recurrence class-topologically stable diffeomorphisms, then the chain recurrence class is hyperbolic.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)