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arXiv:math/0603538 [math.DS]AbstractReferencesReviewsResources

Generically there is but one self homeomorphism of the Cantor set

Ethan Akin, Eli Glasner, Benjamin Weiss

Published 2006-03-22Version 1

We describe a self-homeomorphism $R$ of the Cantor set $X$ and then show that its conjugacy class in the Polish group $H(X)$ of all homeomorphisms of $X$ forms a dense $G_\delta$ subset of $H(X)$. We also provide an example of a locally compact, second countable topological group which has a dense conjugacy class.

Categories: math.DS, math.GR
Subjects: 22A05
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