Generically there is but one self homeomorphism of the Cantor set
By Ethan Akin, Eli Glasner, Barak Weiss. 2006
70 citations recorded by the source corpus.
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 δ subset of H(X). We also provide an example of a locally compact, second countable topological group which has a dense conjugacy class.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/3ef10aa883e15371ddbc1165e9085ec0d76fd5cd
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In Geometry and Topology
- Nilson C. Bernardes
- Udayan B. Darji
- Christian Rosendal
- Alexander S. Kechris
- A. Furman
- Todor Tsankov
- Lewis Bowen
- Inessa Epstein
In Mathematical Physics
- Nilson C. Bernardes
- Udayan B. Darji
- Christian Rosendal
- Alexander S. Kechris
- Lewis Bowen
- A. Furman
- Todor Tsankov
- Damien Gaboriau
Citations in the corpus
- Independence in topological and C*-dynamics (2006, unknown): “Set”
- Turbulence, amalgamation, and generic automorphisms of homogeneous structures (2004, background): “Recently, Akin, Glasner and Weiss [ 2 ] have also found an example of a locally compact Polish group with dense conjugacy class.”
- Graph theoretic structure of maps of the Cantor space (2012, background): “Let us also mention that several of these properties can also be derived from the explicit construction of Akin, Glasner and Weiss [3].”