3 papers
math.LO2025
Borel graphable equivalence relations
Tyler Arant, Alexander S. Kechris, Patrick Lutz
This paper is devoted to the study of analytic equivalence relations which are Borel graphable, i.e. which can be realized as the connectedness relation of a Borel graph. Our main…
math.LO2025
Invariant uniformization
Alexander S. Kechris, Michael Wolman
Standard results in descriptive set theory provide sufficient conditions for a Borel set to admit a Borel uniformiz…
math.LO2025
Realizations of countable Borel equivalence relations
Joshua Frisch, Alexander Kechris, Forte Shinko +1
We study topological realizations of countable Borel equivalence relations, including realizations by continuous actions of countable groups, with additional desirable properties.…