Let $(X, \mathscr{B})$ be a standard Borel space, $R \subset X \times X$ an equivalence relation $\in \mathscr{B} \times \mathscr{B}$. Assume each equivalence class ...
This talk will be an introduction to the field of Borel equivalence relations (also called invariant descriptive set theory). No background will be assumed. We will motivate the main object of study: ...
Let $R$ be a Borel equivalence relation with countable equivalence classes, on the standard Borel space $(X, \mathscr{A}, \mu)$. Let $\sigma$ be a 2-cohomology class ...