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Archive for Mathematical Logic

, Volume 41, Issue 6, pp 541–580 | Cite as

A primer of simple theories

  • Rami Grossberg
  • José Iovino
  • Olivier Lessmann

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. Pillay.

Keywords

Simple Theory Basic Aspect Contemporary Perspective Deep Aspect Account Contribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Rami Grossberg
    • 1
  • José Iovino
    • 2
  • Olivier Lessmann
    • 3
  1. 1.Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213, USA. e-mail: rami@cmu.eduUS
  2. 2.Department of Mathematics, The University of Texas at San Antonio, 6900 North Loop 1604 West, San Antonio, Texas 78249-0664, USA. e-mail: iovino@sphere.math.utsa.eduUS
  3. 3.Department of Mathematics, Statistics, and Computer Science, University of Illinois, Chicago, IL 60607, USA. e-mail: lessmann@uic.eduUS

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