18 citations · 80 across the 24 of their papers we have counts for
4 papers · 1 filter
Finite index extensions of treeable equivalence relations are treeable
Ruiyuan Chen, Anush Tserunyan, Robin Tucker-Drob
We prove that every countable Borel equivalence relation containing a finite index Borel treeable subequivalence relation is Borel treeable. This answers a long-standing question o…
Existentially closed measure-preserving actions of approximately treeable groups
Isaac Goldbring, Brandon Seward, Robin Tucker-Drob
Given a countable group , letting denote the class of {\pmp} actions of , we study the question of when the model companion of exists. Berenst…
Hyperfiniteness and Borel combinatorics
Clinton Conley, Steve Jackson, Andrew Marks +2
We study the relationship between hyperfiniteness and problems in Borel graph combinatorics by adapting game-theoretic techniques introduced by Marks to the hyperfinite setting. We…
Brooks's theorem for measurable colorings
Clinton T. Conley, Andrew S. Marks, Robin Tucker-Drob
We generalize Brooks's theorem to show that if is a Borel graph on a standard Borel space of degree bounded by which contains no -cliques, then admits…