A. Dooley

activity

20042025

most citedTopologies on the group of homeomorphisms of a Cantor set

8 citations · 16 across the 8 of their papers we have counts for

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Showing 2004 · math.DSShow all

3 papers · 2 filters

math.DS2004★ 8 cited

Topologies on the group of homeomorphisms of a Cantor set

Sergey Bezuglyi, Anthony H. Dooley, Jan Kwiatkowski

Let $H o m eo (Ω)$ be the group of all homeomorphisms of a Cantor set $Ω$ . We study topological properties of $H o m eo (Ω)$ and its subsets with respect to the uniform $(τ)$ and weak $(τ_…

math.DS2004★ 1 cited

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 $(X, B)$ . Several topologies are introduced and all possi…

math.DS2004★ 2 cited

The Rokhlin lemma for homeomorphisms of a Cantor set

Sergey Bezuglyi, Anthony H. Dooley, Konstantin Medynets

For a Cantor set $X$ , let $H o m eo (X)$ denote the group of all homeomorphisms of $X$ . The main result of this note is the following theorem. Let $T \in H o m eo (X)$ be an aperiodic homeo…