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Simplicity Theory, Spring 2004

(Complete Item Description)

Abstract:: 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 characterisation of simple theories by the existence of a notion of independence, and hyperimaginary canonical bases.

Subject:: Mathematics and Statistics
Grade Level:: Post-secondary
Collection:: MIT OpenCourseWare

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Top Keywords

Canonical Bases Compact Abstract Theories Dividing Generic Automorphism Hyperimaginaries Independence Independence Theorem Indiscernibility Indiscernible Sequences Lascar Inequalities Lascar Strong Types Lovely Pairs mathematics Simplicity Stability Stable Theories Supersimplicity Type-Definable Groups Universal Domains

Conditions of Use

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Remix and Share
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Read the Fine Print

No restrictions on your remixing, redistributing, or making derivative works. Give credit to the author, as required.

Your remixing, redistributing, or making derivatives works comes with some restrictions, including how it is shared.

Your redistributing comes with some restrictions. Do not remix or make derivative works.

Copyrighted materials, available under Fair Use and the TEACH Act for US-based educators, or other custom arrangements. Go to the resource provider to see their individual restrictions.

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