A primer of simple theories

A primer of simple theories

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 e...

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Veröffentlicht in:Archive for mathematical logic 2002-08, Vol.41 (6), p.541-580
Hauptverfasser: Grossberg, Rami, Iovino, José, Lessmann, Olivier
Format: Artikel
Sprache:eng
Schlagworte:
Calculus
Mathematical analysis
Mathematical models
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Zusammenfassung: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. [PUBLICATION ABSTRACT]
ISSN:0933-5846
1432-0665
DOI:10.1007/s001530100126