Add to ORKGIntroduction to the topic Throughout the text X denotes a Cantor space. When convenient we shall take a concrete realization of X, e.g., 2N or 2Z. The group of homeomorphisms of X is denoted by Homeo(X). The natural numbers N start with 0
AbstractWe give a new proof of the classification, up to topological orbit equivalence, of minimal A...
It will be shown that every minimal Cantor set can be obtained as a projective limit of directed gra...
In this thesis, we consider the construction of the Cantor set with its unique mathematical properti...
Abstract. Each topological group G admits a unique universal minimal dy-namical system (M(G), G). Fo...
To every homeomorphism $T$ of a Cantor set $X$ one can associate the full group $[T]$ formed by all ...
Let $\text{\rm Homeo}(\Omega)$ be the group of all homeomorphisms of a Cantor set $\Omega$. We study...
International audienceWe study full groups of minimal actions of countable groups by homeomorphisms ...
The theory of general dynamical systems evolved originally in the context of modeling movement in ph...
When we have two extensions of a Cantor minimal system which are both one-to-one on at least one orb...
When we have two extensions of a Cantor minimal system which are both one-to-one on at least one orb...
Abstract. Grigorchuk and Medynets recently announced that the topological full group of a minimal Ca...
Within the subject of topological dynamics, there has been considerable recent interest in systems w...
orbit equivalence, group actions and, more generally, etale equivalence relations on Cantor speaces....
We show that every minimal, free action of the group Z2 on the Cantor set is orbit equivalent to an ...
The dimension and infinitesimal groups of a Cantor dynamical system $(X,T)$ are inductive limits of...
AbstractWe give a new proof of the classification, up to topological orbit equivalence, of minimal A...
It will be shown that every minimal Cantor set can be obtained as a projective limit of directed gra...
In this thesis, we consider the construction of the Cantor set with its unique mathematical properti...
Abstract. Each topological group G admits a unique universal minimal dy-namical system (M(G), G). Fo...
To every homeomorphism $T$ of a Cantor set $X$ one can associate the full group $[T]$ formed by all ...
Let $\text{\rm Homeo}(\Omega)$ be the group of all homeomorphisms of a Cantor set $\Omega$. We study...
International audienceWe study full groups of minimal actions of countable groups by homeomorphisms ...
The theory of general dynamical systems evolved originally in the context of modeling movement in ph...
When we have two extensions of a Cantor minimal system which are both one-to-one on at least one orb...
When we have two extensions of a Cantor minimal system which are both one-to-one on at least one orb...
Abstract. Grigorchuk and Medynets recently announced that the topological full group of a minimal Ca...
Within the subject of topological dynamics, there has been considerable recent interest in systems w...
orbit equivalence, group actions and, more generally, etale equivalence relations on Cantor speaces....
We show that every minimal, free action of the group Z2 on the Cantor set is orbit equivalent to an ...
The dimension and infinitesimal groups of a Cantor dynamical system $(X,T)$ are inductive limits of...
AbstractWe give a new proof of the classification, up to topological orbit equivalence, of minimal A...
It will be shown that every minimal Cantor set can be obtained as a projective limit of directed gra...
In this thesis, we consider the construction of the Cantor set with its unique mathematical properti...