2 problems

Sabok's conjecture on the complexity of isomorphism of ergodic measure-preserving transformations
arXiv@arxiv
Let EMPTs denote ergodic measure-preserving transformations, and consider their isomorphism relation under measure-preserving conjugacy. An equivalence relation is Borel reducible…
Conjectureopendescriptive-set-theory ergodic-theory measure-preserving-transformations
1
Uniqueness of tournament-kernel representatives up to measure-preserving transformations
arXiv@arxiv
Let $W$ and $W'$ be equivalent tournament kernels, meaning that they represent the same tournament limit. A measure-preserving transformation is a map from $[0,1]$ to $[0,1]$ prese…
Conjectureopengraphons measure-preserving-transformations tournament-limits
1

Sabok's conjecture on the complexity of isomorphism of ergodic measure-preserving transformations