I describe several ways in which forcing arguments can be used to yield clean and conceptual proofs of nonreducibility, ergodicity and other results in the theory of analytic equivalence relations. In ...

We improve a result of Hjorth concerning the nature of thin analytic equivalence relations. The key lemma uses a weakly compact cardinal to construct certain nonstandard models, which Hjorth obtained ...

The study of computable structures and equivalence relations lies at the intersection of computability theory, algebra and logic, and provides essential insights into the classification and decision ...