The properties of expanding and contracting invariant sets ot an endomorphism are dis-cussed. The strong hyperbolicity and strong Axiom A property of endomorphisms have beendefined, and an R-stability theorem was proved.
基金Supported by Projects from NSF of China(10571147)Specialized Research Fund for Doctoral Programof Higher Education of China(20094301110001)+1 种基金NSF of Hunan Province (09JJ3002)Hunan Provincial Innovation Foundation for Postgraduate(S2008yjscx02)
文摘The properties of expanding and contracting invariant sets ot an endomorphism are dis-cussed. The strong hyperbolicity and strong Axiom A property of endomorphisms have beendefined, and an R-stability theorem was proved.