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math.LO2021
Classifying invariants for : A tail of a generic real
Assaf Shani
Let be an analytic equivalence relation on a Polish space. We introduce a framework for studying the possible "reasonable" complete classifications and the complexity of possib…
math.LO2021
Actions of tame abelian product groups
Shaun Allison, Assaf Shani
A Polish group is tame if for any continuous action of , the corresponding orbit equivalence relation is Borel. When for countable abelian , Solecki (…
math.LO2021
Strong ergodicity phenomena for Bernoulli shifts of bounded algebraic dimension
Aristotelis Panagiotopoulos, Assaf Shani
The algebraic dimension of a Polish permutation group is the smallest , so that for all of size , the orbit of…