4 papers
Universal minimal flows of the homeomorphism groups of pseudo-solenoids are non-metrizable
Jan Boronski, Aleksandra Kwiatkowska
We note that homeomorphism groups of all pseudo-solenoids, including the pseudo-circle, have non-metrizable universal minimal flows.
On roundness of rotation sets
Boris Perrot, Jan Boroński, Alex Clark
Motivated by the question whether a round disk can be realized as the rotation set of a torus diffeomorphism, we study the roundness of rotation sets of a parametric family of toru…
Translation algorithms for graph covers
Jan Boroński, Henk Bruin, Przemysław Kucharski
Graph covers are a way to describe continuous maps (and homeomorphisms) of a Cantor set, more generally than e.g.\ Bratteli-Vershik systems. Every continuous map on a zero-dimensio…
Connected neighborhoods in Cartesian products of solenoids
Jan P. Boroński, Alejandro Illanes, Emanuel R. Márquez
Given a collection of pairwise co-prime integers , greater than , we consider the product , where each $Σ_{m_{i…