Realizations of equivalence relations and subshifts

Abstract: Every continuous action of a countable group on a Polish space induces a Borel equivalence relation. We are interested in the problem of realizing (i.e. finding a Borel isomorphic copy of) these equivalence relations as continuous actions on compact spaces. We provide a number of positive results for variants of this problem, and we investigate the connection to subshifts.

dynamical systemslogic

Audience: researchers in the topic

Online logic seminar

Series comments: Description: Seminar on all areas of logic