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A primer of simple theories

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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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213, USA. e-mail: rami@cmu.edu, , , , , , US

    Rami Grossberg

  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.edu, , , , , , US

    José Iovino

  3. Department of Mathematics, Statistics, and Computer Science, University of Illinois, Chicago, IL 60607, USA. e-mail: lessmann@uic.edu, , , , , , US

    Olivier Lessmann

Authors
  1. Rami Grossberg
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  2. José Iovino
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  3. Olivier Lessmann
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Additional information

Received: 12 November 1999 / Revised version: 1 June 2001 / Published online: 12 July 2002

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Grossberg, R., Iovino, J. & Lessmann, O. A primer of simple theories. Arch. Math. Logic 41, 541–580 (2002). https://doi.org/10.1007/s001530100126

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  • DOI: https://doi.org/10.1007/s001530100126

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