Centralizers of rank-1 homeomorphisms
Dynamical Systems
2012-02-10 v1 Logic
Abstract
We give a definition for a rank-1 homeomorphism of a zero-dimensional Polish space X. We show that if a rank-1 homeomorphism of X satisfies a certain non-degeneracy condition, then it has trivial centralizer in the group of all homeomorphisms of X, i.e., it commutes only with its integral powers.
Keywords
Cite
@article{arxiv.1202.2066,
title = {Centralizers of rank-1 homeomorphisms},
author = {Aaron Hill},
journal= {arXiv preprint arXiv:1202.2066},
year = {2012}
}