Math 595: Countable Borel Equivalence Relations

Spring 2019

A. Kechris, The theory of countable Borel equivalence relations, survey, 2018 [pdf]
A. Kechris, B. Miller, Topics in Orbit Equivalence, Lecture Notes in Math., vol. 1852, Springer, 2004 [Springer link]
Download is free for UIUC members through the campus internet (not eduroam) or using the UIUC proxy/VPN.
S. Jackson, A. Kechris, A. Louveau Countable Borel Equivalence Relations, Journal of Math. Logic 2 (2002), no. 1, 1–80 [doi]
Again, download is free for UIUC members through the campus internet (not eduroam) or using the UIUC proxy/VPN.
A. Tserunyan, Introduction to Descriptive Set Theory, lecture notes [pdf]

There will be one homework (7–8 problems) every 2–3 weeks. Problems will be added to each homework gradually until it reaches the desired size. We will then have a problem session, where each student will present a solution or a part of it.
The letter grades will be loosely based on homework presentations and attendance.