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math.LO2026
Amenable subrelations of treeable equivalence relations and applications to anti-treeability
Anush Tserunyan, Robin Tucker-Drob
We study the structure of amenable subrelations of treeable measure-class-preserving equivalence relations, applying the Radon--Nikodym topography perspective initiated in our comp…
math.LO2026
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…