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18.996A Simplicity Theory | Mathematics

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.... Show More

Keywords:: supersimplicity, dividing, canonical bases, compact abstract theories, universal domains, simplicity, independence, lovely pairs, generic automorphism, stable theories, Algebra and Number Theory, indiscernible sequences, indiscernibility, Mathematical Logic, Lascar strong types, hyperimaginaries, Lascar inequalities, independence theorem, type-definable groups, stability

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Mathematics and Statistics / Mathematics

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Material Type:: Online Course
Date Added to MERLOT:: May 12, 2016
Date Modified in MERLOT:: May 12, 2016
Author:: Unknown (Know the author?)
Submitter:: Barbra Bied Sperling

Primary Audience:: Graduate School
Technical Format:: Website
Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: No
Creative Commons:: This work is licensed under a Attribution-NonCommercial-ShareAlike 3.0 United States

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18.996A Simplicity Theory | Mathematics

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