Hostname: page-component-848d4c4894-x24gv Total loading time: 0 Render date: 2024-05-02T12:59:54.523Z Has data issue: false hasContentIssue false

Forking and fundamental order in simple theories

Published online by Cambridge University Press:  12 March 2014

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

Abstract

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

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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. 330350.Google Scholar
[4] Shelah, Saharon, Classification Theory and the number of nonisomorphic models, North Holland, 1978.Google Scholar