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Forking and fundamental order in simple theories

Published online by Cambridge University Press:  12 March 2014

Daniel Lascar  and
Anand Pillay
Daniel Lascar
Affiliation:
Université Paris 7, Cnrs, Ufr De Mathématiques, Upresa 7056, 2 Place Jussieu, Case 7012, 75251 Paris Cedex 05, France E-mail: lascar@logique.jussieu.fr
Anand Pillay
Affiliation:
Department of Mathematics, University of Illinois, Altgeld Hall, 1409 W. Green St., Urbana, IL 61801, USA E-mail: pillay@math.uiuc.edu
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Abstract

We give a characterisation of forking in the context of simple theories in terms of the fundamental order.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 64 , Issue 3 , September 1999 , pp. 1155 - 1158
Copyright
Copyright © Association for Symbolic Logic 1999

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References

REFERENCES

[1] Kim, Byunghan, Forking in simple instable theories, to appear in the Journal of the London Mathematical Society.Google Scholar
[2] Kim, Byunghan and Pillay, Anand, Simple theories, to appear in Annals of Pure and Applied Logic.Google Scholar
[3] Lascar, Daniel and Poizat, Bruno, An introduction to forking, this Journal, vol. 44 (1979), pp. 330–350.Google Scholar
[4] Shelah, Saharon, Classification Theory and the number of nonisomorphic models, North Holland, 1978.Google Scholar