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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…
math.CT2023
A Gelfand duality for continuous lattices
Ruiyuan Chen
We prove that the category of continuous lattices and meet- and directed join-preserving maps is dually equivalent, via the hom functor to , to the category of complete Arch…