Instructor: Rami Grossberg
Office: WEH 7204
Phone: x8482 (268-8482 from external lines), messages at x2545
Office Hours: Immediately after class or by appointment or whenever else you can find me.
Purpose. This is a second course in model theory. The main
topic of discussion will be the forking relation and its basic properties..
Course description. The material
to be covered: Shelah's "Forking calculus" will be developed it its
outmost generality in the context of simple theories
(which is a generalization of stability). The fundamental
properties of stable, superstable and simple unstable theories
will be developed. The machinery will be used to solve several
model-theoretic problems. Including stability spectrum theorem, uniqueness of
prime models and various characterizations.
Prerequisites: An introduction to model theory like 21-603.
Text: Rami Grossberg, A course in model theory ,
for only students in this course, by using this link you agree
not to forward and/or share the contents without my explicit agreement.
Most of the material (and much more) appears in the following books:
Evaluation: Will be based on homework assignments (20%), a 50 minutes midterm (20%) and a 3 hours inclass comprehensive final written examination (60%).
|Last modified: January 12th, 2006|