An introduction to generalized descriptive set theory, part 1

This is the first of many of talks in which an overview of the Borel-reducibility hierarchy in the generalized Baire space will be given. The aim of this talk is to introduce the notions of $\kappa$-Borel class, $\kappa$-$\Delta_1^{^1}$ class, $\kappa$-Borel^* class, and show the relation between these classes.