Comparability of clopen sets in a zero-dimensional dynamical system
Dynamical Systems
2010-08-03 v1
Abstract
We consider a homeomorphism on a totally disconnected, compact metric space and define a binary relation on the family of clopen subsets. We will show that the comparability of any clopen sets with respect to the relation is equivalent to the unique ergodicity of the homeomorphism.
Cite
@article{arxiv.1008.0180,
title = {Comparability of clopen sets in a zero-dimensional dynamical system},
author = {Hisatoshi Yuasa},
journal= {arXiv preprint arXiv:1008.0180},
year = {2010}
}
Comments
4 pages