On N-Distal Homeomorphisms
Dynamical Systems
2023-11-06 v2
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.
Cite
@article{arxiv.2011.00266,
title = {On N-Distal Homeomorphisms},
author = {E. Rego and J. C. Salcedo},
journal= {arXiv preprint arXiv:2011.00266},
year = {2023}
}
Comments
12 pages