Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special pr
Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced approach to the subj
Presents Results from a Very Active Area of ResearchExploring an active area of mathematics that studies the complexity of equivalence relations and classificat
In this book the authors present their research into the foundations of the theory of Polish groups and the associated orbit equivalence relations. The particul
The book is based on the PhD thesis “Descriptive Set Theoretic Methods in Automata Theory,” awarded the E.W. Beth Prize in 2015 for outstanding dissertation