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Monday, April 26, 2021
12:00 PM - 1:00 PM
Online Event

# Logic Seminar

A dichotomy for countable unions of smooth Borel equivalence relations
Noé de Rancourt, Kurt Gödel Research Center, University of Vienna,

I will present a dichotomy for equivalence relations on Polish spaces that can be expressed as countable unions of smooth Borel subequivalence relations. It can be seen as an extension of Kechris-Louveau's dichotomy for hypersmooth Borel equivalence relations. A generalization of our dichotomy, for equivalence relations that can be expressed as countable unions of Borel equivalence relations belonging to certain fixed classes, will also be presented. This is a joint work with Benjamin Miller.