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A primer of simple theories
Archive for Mathematical Logic 41 (6):541-580 (2002)
Abstract
We present a self-contained exposition of the basic aspects of simple theories while developing the fundamentals of forking calculus. We expound also the deeper aspects of S. Shelah's 1980 paper Simple unstable theories. The concept of weak dividing has been replaced with that of forking. The exposition is from a contemporary perspective and takes into account contributions due to S. Buechler, E. Hrushovski, B. Kim, O. Lessmann, S. Shelah and A. PillayLinks
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Citations of this work
Simple-like independence relations in abstract elementary classes.Rami Grossberg & Marcos Mazari-Armida - 2021 - Annals of Pure and Applied Logic 172 (7):102971.
An independence theorem for ntp2 theories.Itaï Ben Yaacov & Artem Chernikov - 2014 - Journal of Symbolic Logic 79 (1):135-153.
Forking in short and tame abstract elementary classes.Will Boney & Rami Grossberg - 2017 - Annals of Pure and Applied Logic 168 (8):1517-1551.
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