Continuum-wise expansiveness and specification for set-valued functions and topological entropy
Dynamical Systems
2015-10-27 v1
Abstract
We define the concept of continuum wise expansive for set-valued functions and prove that if a compact metric space admit a set-valued -expansive function then the topological entropy of is positive.} We also introduce the notion of pointwise specification property for set-valued functions and prove that set-valued functions with this property has positive entropy.
Keywords
Cite
@article{arxiv.1510.07615,
title = {Continuum-wise expansiveness and specification for set-valued functions and topological entropy},
author = {Welington Cordeiro and Maria José Pacífico},
journal= {arXiv preprint arXiv:1510.07615},
year = {2015}
}