Graduate Logic Group: Borel boundedness, hyperfiniteness, and the increasing union problem | Department of Mathematics

Graduate Logic Group: Borel boundedness, hyperfiniteness, and the increasing union problem

Event Information
Event Location: 
GAB 461
Event Date: 
Wednesday, April 5, 2017 - 3:45pm

We will discuss the property of Borel boundedness for countable Borel equivalence relations introduced in a paper of Boykin and Jackson. We will show that hyperfinite equivalence relations are Borel bounded and that and increasing union of hyperfinite equivalence relations is hyperfinite if and only if it is Borel bounded. Several interesting open questions will follow.

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