Structurable equivalence relations and ${\mathcal{L}}_{\ddot{I}{‰}_1\ddot{I}‰}$ interpretations

Rishi Banerjee, Ruiyuan Chen

We show that the category of countable Borel equivalence relations (CBERs) is dually equivalent to the category of countable ${\mathcal{L}}_{\ddot{I}{‰}_1\ddot{I}‰}$ theories which admit a one-sorte…