Simplicity Theory

A mathematical equation.

The DG (-, ≡) is left translation-invariant. (Image by Dr. Itay Ben-Yaacov.)

Instructor(s)

MIT Course Number

18.996A

As Taught In

Spring 2004

Level

Graduate

Cite This Course

Course Features

Course Description

This is an advanced topics course in model theory whose main theme is simple theories. We treat simple theories in the framework of compact abstract theories, which is more general than that of first order theories. We cover the basic properties of independence (i.e., non-dividing) in simple theories, the characterization of simple theories by the existence of a notion of independence, and hyperimaginary canonical bases.

Ben-Yaacov, Itay. 18.996A Simplicity Theory, Spring 2004. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-996a-simplicity-theory-spring-2004 (Accessed). License: Creative Commons BY-NC-SA


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