Abstract
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 Gδ subset of H(X). We also provide an example of a locally compact, second countable topological group which has a dense conjugacy class.
Original language | English |
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Pages (from-to) | 3613-3630 |
Number of pages | 18 |
Journal | Transactions of the American Mathematical Society |
Volume | 360 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2008 |
Keywords
- Conjugacy class
- Group of homeomorphisms of the cantor set
- Rohlin property