On N-Distal Homeomorphisms

Abstract

In this work we exploit the notion of N-distal property for a homeomorphisms. We study how it behaves under factor operations. We investigate the relation between N-distality and transitivity, N-equicontinuity and expansivity. We also prove that topological topological entropy vanishes for N-distal systems on compact metric spaces with some nice behavior on the non-wandering set.