摘要
In this paper we introduce the concept of uniform pseudo-orbit tracing property for continuous self-maps of compact metric spaces and discuss its generic property and its relationship to the orbit stability. For self-homeomorphisms of compact manifold of dimension≥2, we show that the uniform pseudo-orbit tracing property is equivalent to the orbit stability.
In this paper we introduce the concept of uniform pseudo-orbit tracing property for continuous self-maps of compact metric spaces and discuss its generic property and its relationship to the orbit stability. For self-homeomorphisms of compact manifold of dimension≥2, we show that the uniform pseudo-orbit tracing property is equivalent to the orbit stability.
