Ergodic Theory and Dynamical Systems

Research Article

Properties of attractors of generic homeomorphisms

Mike Hurleya1

a1 Department of Mathematics, Case Western Reserve University, Cleveland, OH 44106-7058, USA, (e-mail: mgh3@po.cwru.edu)

Abstract

We describe several generic properties of homeomorphisms on compact manifolds. These properties concern the attractors of a homeomorphism, its chain recurrent set, and the periodic points.

(Received January 08 1994)

(Revised April 02 1995)