Hostname: page-component-7dd5485656-npwhs Total loading time: 0 Render date: 2025-10-30T18:40:57.813Z Has data issue: false hasContentIssue false
  • English
  • Français

Smooth classes without AC and Robinson theories

Published online by Cambridge University Press:  12 March 2014

Massoud Pourmahdian
Massoud Pourmahdian*
Affiliation:
The Institute for Studies, in Theoretical Physics and Mathematics (IPM) P.O. Box 19395-5746, Tehran, Iran, E-mail: pourmahd@karun.ipm.ac.ir
Get access Rights & Permissions [Opens in a new window]

Abstract

We study smooth classes without the algebraic closure property. For such smooth classes we investigate the simplicity of the class of generic structures, in the context of Robinson theories.

Keywords

Smooth ClassFräissé-Hrushovski MethodGeneric StructuresRobinson TheoryModel CompletionPredimensionSemigenericitySimple

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 4 , December 2002 , pp. 1274 - 1294
Copyright
Copyright © Association for Symbolic Logic 2002

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.)

Article purchase

Temporarily unavailable

References

REFERENCES

[1]Baldwin, J. and Shelah, S., Randomness and semigenericity, Transactions of the American Mathematical Society, vol. 349 (1997), no. 4, pp. 1359–1376.CrossRefGoogle Scholar
[2]Baldwin, J. and Shelah, S., Dop and FCP in generic structures, this Journal, vol. 63 (1998), pp. 427–438.Google Scholar
[3]Baldwin, J. and Shi, N., Stable generic structures, Annals of Pure and Applied Logic, vol. 79 (1996), no. 1, pp. 1–35.CrossRefGoogle Scholar
[4]Hrushovski, E., A new strongly minimal set, Annals of Pure and Applied Logic, vol. 62 (1993), pp. 147–166.CrossRefGoogle Scholar
[5]Hrushovski, E., Simplicity and the Lascar group, preprint, 1997.Google Scholar
[6]Kueker, D. and Laskowski, M., Generic structures, Notre Dame Journal of Formal Logic, vol. 33 (1992), no. 2, pp. 175–183.Google Scholar
[7]Pillay, A., Forking in the category of existentially closed structures, preprint, 1999.Google Scholar
[8]Pourmahdian, M., Model theory of simple theory, Ph.D. thesis, Oxford, 07 2000.Google Scholar
[9]Pourmahdian, M., Simple generic structures, submitted, 2000.Google Scholar
[10]Wagner, F., Relational structures and dimensions, Automorphisms of first order structures, Oxford Science Publications, Oxford University Press, Oxford, 1994, pp. 153–180.CrossRefGoogle Scholar