I gave an invited talk at the 50 Years of Set Theory in Toronto meeting,
Fields Institute for Research in Mathematical Sciences, May 2019.
Talk Title: Analytic quasi-orders and two forms of diamond
Abstract: We study Borel reduction of equivalence relations (more generally: quasi-orders) in the generalized Baire and Cantor spaces, and connect it with the study of two diamond-type principles. One of these principles holds for all ineffable sets, and the other fails on all ineffable sets, but, in L, holds for all stationary non-ineffable sets.
This is joint work with Gabriel Fernandes and Miguel Moreno.
Downloads:
The video of this talk is now available.