12 citations · 41 across the 34 of their papers we have counts for
4 papers · 2 filters
Topologies on the group of homeomorphisms of a Cantor set
Sergey Bezuglyi, Anthony H. Dooley, Jan Kwiatkowski
Let be the group of all homeomorphisms of a Cantor set . We study topological properties of and its subsets with respect to the uniform and weak $(τ_…
Topologies on the group of Borel automorphisms of a standard Borel space
Sergey Bezuglyi, Anthony H. Dooley, Jan Kwiatkowski
The paper is devoted to the study of topologies on the group Aut(X,B) of all Borel automorphisms of a standard Borel space . Several topologies are introduced and all possi…
The Rokhlin lemma for homeomorphisms of a Cantor set
Sergey Bezuglyi, Anthony H. Dooley, Konstantin Medynets
For a Cantor set , let denote the group of all homeomorphisms of . The main result of this note is the following theorem. Let be an aperiodic homeo…
Smooth automorphisms and path-connectedness in Borel dynamics
Sergey Bezuglyi, Konstantin Medynets
Let be the group of all Borel automorphisms of a standard Borel space . We study topological properties of with respect t…