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math.LO2024
Borel Complexity of the Isomorphism Relation of Archimedean Orders in Finitely Generated Groups
Antoine Poulin
In 2020, Calderoni, Marker, Motto Ros and Shani asked what the Borel complexity of the isomorphism relation of Archimedean orders on is. We answer this question by p…
math.LO2023★ 1 cited
Tree-like graphings, wallings, and median graphings of equivalence relations
Ruiyuan Chen, Antoine Poulin, Ran Tao +1
We prove several results showing that every locally finite Borel graph whose large-scale geometry is "tree-like" induces a treeable equivalence relation. In particular, our hypothe…