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On dp-minimality, strong dependence and weight

Published online by Cambridge University Press:  12 March 2014

Alf Onshuus  and
Alexander Usvyatsov
Alf Onshuus
Affiliation:
Universidad de Los Andes, Departemento de Matemáticas, Cra. 1 No 18A-10, Bogotá, Colombia, E-mail: [email protected], URL: http://matematicas.uniandes.edu.co/cv/webpage.php?Uid=aonshuus
Alexander Usvyatsov
Affiliation:
Universidade de Lisboa, Centro de Matemática e Aplicações Fundamentais, Av. Prof. Gama Pinto, 2, 1 649-003 Lisboa, Portugal University of California– Los Angeles, Mathematics Department, Box 951555, Los Angeles, CA 90095-1555, USA, URL: http://www.math.ucla.edu/~alexus
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Abstract

We study dp-minimal and strongly dependent theories and investigate connections between these notions and weight.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 76 , Issue 3 , September 2011 , pp. 737 - 758
Copyright
Copyright © Association for Symbolic Logic 2011

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References

REFERENCES

[Ad]Adler, Hans, Strong theories, burden and weight, preprint.Google Scholar
[Ad2]Adler, Hans, A geometric introduction to forking and thorn-forking, Journal of Mathematical Logic, to appear.Google Scholar
[vdD]van den Dries, Lou, Tame topology and o-minimal structures, London Mathematical Society Lecture Note Series, vol. 248, Cambridge University Press, Cambridge, 1998.CrossRefGoogle Scholar
[G]Goodrick, John, A monotonicity theorem for DP-minimal densely ordered groups, this Journal, vol. 75 (2010), no. 1, pp. 221–238.Google Scholar
[K]Kim, Byunghan, Forking in simple unstable theories, Journal of the London Mathematical Society. Second Series, vol. 57 (1998), no. 2, pp. 257–267.CrossRefGoogle Scholar
[LP]Lascar, Daniel and Poizat, Bruno, An introduction to forking, this Journal, vol. 44 (1979), no. 3, pp. 330–350.Google Scholar
[O]Onshuus, Alf, Properties and consequences of thorn-independence, this Journal, vol. 71 (2006), no. 1, pp. 1–21.Google Scholar
[OU]Onshuus, Alf and Usvyatsov, Alexander, Thorn orthogonality and domination in unstable theories, submitted.Google Scholar
[P:book]Pillay, Anand, Geometric stability theory, Oxford Logic Guides, vol. 32, The Clarendon Press Oxford University Press, New York, 1996, Oxford Science Publications.CrossRefGoogle Scholar
[Sh:c]Shelah, S., Classification theory and the number of nonisomorphic models, second ed., Studies in Logic and the Foundations of Mathematics, vol. 92, North-Holland Publishing Company, Amsterdam, 1990.Google Scholar
[Sh783]Shelah, Saharon, Dependent first order theories, continued, Israel Journal of Mathematics, vol. 173 (2009), pp. 1–60.CrossRefGoogle Scholar
[Sh863]Shelah, Saharon, Strongly dependent theories, submitted.Google Scholar
[U1]Usvyatsov, Alexander, Generically stable types in dependent theories, this Journal, vol. 74 (2009), no. 1, pp. 216–250.Google Scholar
[U2]Usvyatsov, Alexander, A note on Morley sequences in dependent theories, submitted.Google Scholar
[W:book]Wagner, Frank O., Simple theories, Mathematics and its Applications, vol. 503, Kluwer Academic Publishers, Dordrecht, 2000.CrossRefGoogle Scholar