Series: Penn State Logic Seminar

Date: Tuesday, March 15, 2005

Time: 2:30 - 3:45 PM

Place: 103 Pond Laboratory

Speaker: John Clemens, Penn State, Mathematics

Title: Borel Reducibility of Analytic Equivalence Relations, part 2

Abstract: 

  It is known by a result of Friedman and Stanley that there is no
  Borel equivalence relation to which every other Borel equivalence
  relation is Borel reducible; however, there are analytic equivalence
  relations to which every analytic equivalence relation (and hence
  every Borel one) is reducible, and the same is true for co-analytic
  equivalence relations. I will discuss the class of analytic
  equivalence relations to which every Borel equivalence relation is
  reducible, and show in particular that there is no minimum such
  relation.