Marks's conjecture on uniform universality of countable Borel equivalence relations

A countable Borel equivalence relation is an equivalence relation on a standard Borel space whose classes are countable and which is Borel as a subset of the product space. Marks's conjecture. A countable Borel equivalence relation is universal if and only if it is uniformly universal with respect to every way it can be generated. This conjecture is used to obtain conditional results about whether the equivalence relation under study is universal; its resolution status is not specified in the source.