3 papers
math.LO2026
Some aspects of topological dynamics of Polish groups (with an introduction to descriptive set theory)
Julien Melleray
The first part of these notes give an introduction to the theory of Polish group actions on compact Hausdorff spaces, leading up to a proof of the Kechris-Pestov-Todorcevic corresp…
math.DS2026
Dense and comeager conjugacy classes in zero-dimensional dynamics
Michal Doucha, Julien Melleray, Todor Tsankov
Given a countable group , we initiate a systematic study of the Polish spaces of all minimal and topologically transitive actions of on the Cantor space by homeomorphisms, w…
math.DS2024
Clopen type semigroups of actions on -dimensional compact spaces
Julien Melleray
We investigate some properties of the clopen type semigroup of an action of a countable group on a compact, -dimensional, Hausdorff space X. We discuss some characterizations of…