Generically there is but one self homeomorphism of the Cantor set
Dynamical Systems
2007-05-23 v1 Group Theory
Abstract
We describe a self-homeomorphism of the Cantor set and then show that its conjugacy class in the Polish group of all homeomorphisms of forms a dense subset of . We also provide an example of a locally compact, second countable topological group which has a dense conjugacy class.
Keywords
Cite
@article{arxiv.math/0603538,
title = {Generically there is but one self homeomorphism of the Cantor set},
author = {Ethan Akin and Eli Glasner and Benjamin Weiss},
journal= {arXiv preprint arXiv:math/0603538},
year = {2007}
}