Logic Seminar
Marcin Sabok
Fields Institute and Polish Academy of Sciences
Canonization of Borel equivalence relations
Abstract: I will discuss some recent developments in canonical Ramsey theory in
the context of descriptive set theory. I will survey canonization
results for various classes of equivalence relations. I will show that
hypersmooth equivalence relations canonize to three equivalences: two
trivial ones and $E_1$. I will also show that equivalence relations
reducible to $E_2$ also canonize to three equivalences: the two
trivial ones and $E_2$.
This is part of a joint forthcoming book with Vladimir Kanovei and
Jindra Zapletal.
Tuesday October 9, 2012 at 4:00 PM in SEO 427