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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

Presents Results from a Very Active Area of ResearchExploring an active area of mathematics that studies the complexity of equivalence relations and classificat

Research monograph on set theory by two of the world's leading researchers.

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

A study of ergodic, measure preserving actions of countable discrete groups on standard probability spaces. It explores a direction that emphasizes a global poi