3 citations · 3 across the 2 of their papers we have counts for
4 papers
Strong ergodicity for the Gamma-jump operator and for actions of Polish wreath products
Assaf Shani
Let and be sufficiently distinct countable groups. We show that there is an orbit equivalence relation , induced by an action of the Polish wreath product group ,…
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 (…
Strong ergodicity around countable products of countable equivalence relations
Assaf Shani
This paper deals with countable products of countable Borel equivalence relations and equivalence relations "just above" those in the Borel reducibility hierarchy. We show that if…
Borel reducibility and symmetric models
Assaf Shani
We develop a correspondence between the study of Borel equivalence relations induced by closed subgroups of , and the study of symmetric models and weak choice principles…