HYPERBOLIC HOMEOMORPHISMS

  • Park, Jong-Suh (Department of Mathematics, Chungnam University, Taejon 305-764) ;
  • Lee, Keon-Hee (Department of Mathematics, Chungnam University, Taejon 305-764) ;
  • Koo, Ki-Shik (Department of Mathematics, Taejon University, Taejon 300-120)
  • Published : 1995.02.01

Abstract

In [6], we introduce a hyperbolic homeomorphism on a compact metrizable space and show that a hyperbolic homeomorphism is topologically stable. The purpose of this paper is to study a necessary and sufficient condition for a homeomorphism to be hyperbolic. We get the following theorem.

Keywords