**Instructor:** Itay Neeman.

Office: MS 6334.

Email:

Phone: 794-5317.

Office hours: MW 12-1pm.

**Time and Place:** MWF 1-1:50pm, in MS 5148.

**Text:** Notes on Set Theory by D.A. Martin will be distributed in
class. Some exercises will be assigned from Kunen's book
*Set theory, an introduction to independence proofs*. Additional
exercises will come from handouts distributed in class and posted on this
webpage, and from past qualifying exams.

**Grading**: The final grade will be based on homework (roughly 35%),
and a final exam (roughly 65%). Homework will be due every Monday at the start
of class.

**Homework exercises** (all due at the start of class):

Assignment 1, due Monday April 5: Exercises 1.1 and 1.2 in the Martin Notes, and Exercise 1 in Chapter 1 of Kunen.

Assignment 2, due Monday April 12: Exercises 2, 3, 4, and 5 (excluding part c) in Chapter 1 of Kunen.

Assignment 3, due Monday April 19: Exercises A, B, C, D, E, and F in this handout.

Assignment 4, due Monday April 26: Exercises G, H, I, and J in this handout.

Assignment 5, due Monday May 3: Exercises K, L, M, and P in this handout, and exercises 1.5, 1.6 in the Martin Notes. In P you need only sketch the proof, but make sure to sketch all components.

Assignment 6, due Monday May 10: Exercises N, S, T, and U in this handout. In U you need only sketch the proof, but make sure to indicate all differences with the similar proof we did in class.

Assignment 7, due Monday May 17: Exercises Q, R in this handout, and questions 2 and 4 in the Fall 2003 qualifying exam.

Assignment 8, due Monday May 24: Questions 3 and 6 in the Winter 2004 qualifying exam, and exercises 51 and 52 in Chapter 2 of Kunen.

Assignment 9, due Friday June 4: Questions 3 and 6 in the Fall 2003 qualifying exam, Question 7 in the Winter 2004 qualifying exam, and Question 5 in the Spring 2010 qualifying exam. (In Question 3, $\alpha$ and $\beta$ should be infinite throughout. In Question 7, assume $V=L$.)