Math 595: Countable Borel Equivalence Relations

Spring 2019

Class info

  • Lecture: TueThu 11–12:20 in 7 Illini Hall
  • Office hours: By appointment

Instructor info

  • Name: Anush Tserunyan
  • Email: anush at illinois dot edu
  • Office: 369 Altgeld Hall

Course description

  • Course description and syllabus [pdf]
  • Introductory lecture slides [pdf]

Material

  • 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]

Homework

  • HW3: due Apr 11, 5–6:15pm, in 443AH
  • HW2
  • HW1

Graphing of a countable Borel equivalence relation E

Embedding ordinals into a set

Coursework and grades