# MATH 504: Set Theory I

## Spring 2016

Instructor: Dima Sinapova

Class Meets: MWF 1:00 - 1:50 in TH 309

Office: 421 SEO

Office Hours: M 4-5, W 3-4

phone: (312)-996-2371

e-mail: sinapova@math.uic.edu

### Text:

- Kenneth Kunen,
*Set Theory,* College Publications, 2011.

### Description

This is a first graduate course in set theory. The primary goal is to show the independence of the continuum hypothesis (CH).
We will cover the axioms of set theory (ZFC), ordinals, cardinals, the Constructible Universe L, and the proof that ZFC+CH holds in L. Then we will go over the method of forcing and use it to show the consistency
of not CH.
### Homework and grading

There will be regular homework assignments, which will be posted online. The grade will be based on the homework.