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: ...

CBSE Class 12 Mathematics Chapter 1 Relations and Functions Revision Notes: With the 2024 board exams around the corner, the time to put down the books and begin revising the topics has arrived.

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 ...