Simplicity Theory
18.996A · Mathematics · Graduate · Spring 2004
Dr. Itay Ben-Yaacov
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.
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Dr. Itay Ben-Yaacov. 18.996A Simplicity Theory. Spring 2004. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: CC BY-NC-SA 4.0.
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