On topological rank of factors of Cantor minimal systems

Rotation Topological Factors of Minimal Z-actions on the Cantor Set

In this paper we study conditions under which a free minimal Zaction on the Cantor set is a topological extension of the action of d rotations, either on the product T of d 1-tori or on a single 1-torus T. We extend the notion of linearly recurrent systems defined for Z-actions on the Cantor set to Z-actions and we derive in this more general setting, a necessary and sufficient condition, which...

A companion to the mini-course on full topological groups of Cantor minimal systems

Dimension Groups of Topological Joinings and Non-coalescence of Cantor Minimal Systems

By a topological dynamical system (Y, ψ), we mean a compact Hausdorff space Y endowed with a homeomorphism ψ. When (Yi, ψi), i = 0, 1 are two topological dynamical systems, ψ0 × ψ1-invariant closed subsets of Y0 × Y1 are called (topological) joinings, and when (Y0, ψ0) equals (Y1, ψ1), they are called self-joinings. In the measure-theoretical setting, the notion of selfjoinings was introduced b...

an investigation on influencing factors on tourists shopping attitude of iranian handmade carpet in isfahan

چکیده ندارد.

Real Coboundaries for Minimal Cantor Systems

In this paper we investigate the role of real-valued coboundaries for classifying of minimal homeomorphisms of the Cantor set. This work follows the work of Giordano, Putnam, and Skau who showed that one can use integer-valued coboundaries to characterize minimal homeomorphisms up to strong orbit equivalence. First, we prove a rigidity result. We show that there is an orbit equivalence between ...