3 citations · 7 across the 5 of their papers we have counts for
6 papers
Combinatorics of reductions between equivalence relations
Dan Hathaway, Scott Schneider
We discuss combinatorial conditions for the existence of various types of reductions between equivalence relations, and in particular identify necessary and sufficient conditions f…
A note on Cauchy integrability
Scott Schneider
We show that for any bounded function and there is a partition of with respect to which the Riemann sum of using right endpoin…
Simultaneous Reducibility of Pairs of Borel Equivalence Relations
Scott Schneider
Let and be Borel equivalence relations on the standard Borel spaces and , respectively. The pair is simultaneously Borel reducible to…
Locally Nilpotent Groups and Hyperfinite Equivalence Relations
Scott Schneider, Brandon Seward
A long standing open problem in the theory of hyperfinite equivalence relations asks if the orbit equivalence relation generated by a Borel action of a countable amenable group is…
Cardinal characteristics and countable Borel equivalence relations
Samuel Coskey, Scott Schneider
Boykin and Jackson recently introduced a property of countable Borel equivalence relations called Borel boundedness, which they showed is closely related to the union problem for h…
The conjugacy problem for the automorphism group of the random graph
Samuel Coskey, Paul Ellis, Scott Schneider
We prove that the conjugacy problem for the automorphism group of the random graph is Borel complete, and discuss the analogous problem for some other countably categorical structu…