9 citations · 25 across the 13 of their papers we have counts for
18 papers
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…
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…
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…
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.…
Lifts of Borel actions on quotient spaces
Joshua Frisch, Alexander Kechris, Forte Shinko
Given a countable Borel equivalence relation E and a countable group G, we study the problem of when a Borel action of G on X/E can be lifted to a Borel action of G on X.
On Polish groups admitting non-essentially countable actions
Alexander S. Kechris, Maciej Malicki, Aristotelis Panagiotopoulos +1
It is a long-standing open question whether every Polish group that is not locally compact admits a Borel action on a standard Borel space whose associated orbit equivalence relati…