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math.LO2025
Definable expansions on countable groups and countable Borel equivalence relations
Michael Wolman
We define and study expansion problems on countable structures in the setting of descriptive combinatorics. We consider both expansions on countable Borel equivalence relations and…
math.LO2024
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.LO2023
An effective version of Nadkarni's Theorem
Alexander S. Kechris, Michael S. Wolman
Nadkarni's Theorem asserts that for a countable Borel equivalence relation (CBER) exactly one of the following holds: (1) It has an invariant Borel probability measure or (2) it ad…