On pairwise sensitive homeomorphisms
Dynamical Systems
2011-10-26 v1
Abstract
We obtain properties of the pairwise sensitive homeomorphisms defined in \cite{cj}. For instance, we prove that their sets of points with converging semi-orbits have measure zero, that such homeomorphisms do not exist in a compact interval and, in the circle, they are the Denjoy ones. Applications including alternative proofs of well-known facts in expansive systems are given.
Cite
@article{arxiv.1110.5612,
title = {On pairwise sensitive homeomorphisms},
author = {C. A. Morales},
journal= {arXiv preprint arXiv:1110.5612},
year = {2011}
}
Comments
9 pages