MATH 7850: Topics in Logic: Descriptive Set Theory (Fall 2011)

Instructor: Clinton Conley

The first half of the course will cover the basic definitions and notions of descriptive set theory (Polish spaces, Borel/analytic sets, etc.) as well as some uniformization and selection principles. The second half of the course will be an examination of the recent study of Borel equivalence relations.

In addition to familiarity with set theory (at an advanced undergraduate or early graduate level), some exposure to point-set topology and measure theory (such as in an advanced real analysis course) would be beneficial for students. I will teach primarily out of Kechris' Classical Descriptive Set Theory, which is a suggested (but not required) reference.