Math 574: Set Theory

Class info

Lecture notes from the current course, typeset by Jessica Schirle
Ch. Rosendal, Set Theory, lecture notes (Fall, 2010), based on Krivine's book
Part 1
Part 2
Part 3
Part 4
A. Tserunyan, A graph-theoretic proof of the Δ-system lemma [pdf]
A. Tserunyan, The Cantor–Schröder–Bernstein theorem [pdf]
D.J. Lutzer, Stationary sets in ω₁, Ulam matrices, and probability measures [pdf]
A. Tserunyan, Basic Set Theory, introductory lecture notes for undergrads [pdf]
J.-L. Krivine, Théorie des ensembles (French) 2ème édition (2007) [link]
K. Kunen, Set Theory (2011) [link]

Problem session host: Anton Bernshteyn
Problem session 1: Thursday 1–2pm in 345 Altgeld Hall
Problem session 2: Thursday 5–6pm in 345 Altgeld Hall
Problem session 3: Friday 2–3pm in 1 Illini Hall
Homework will be assigned every week by Friday evening and it will consist of 6–8 problems. The submission of homework will be done as follows. The students will have to write up their solutions and submit their write-ups to Anton Bernshteyn in the weekly problem sessions, during which they will also be asked to present at least one solution on the board. The presentations must be very short (5–7 minutes), explaining only the main idea of the solution rather than its details.
To accommodate everyone in class, there will be multiple problem sessions held at different times (see above for times and rooms). Each student will be assigned one problem session.