In this paper, we introduce the weak -expansivity which is a generalization of both expansivity and -expansivity. Also, we define -stable and -unstable sets of a homeomorphism on a metric -space and investigate properties of them. Finally, we consider the decomposition theorem on -spaces.
In this paper, we introduce the weak -expansivity which is a generalization of both expansivity and -expansivity. Also, we define -stable and -unstable sets of a homeomorphism on a metric -space and investigate properties of them. Finally, we consider the decomposition theorem on -spaces.