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GENERICALLY STABLE REGULAR TYPES

  • PREDRAG TANOVIĆ (a1)
Abstract

We study nonorthogonality of symmetric, regular types and show that it preserves generic stability and is an equivalence relation on the set of all generically stable, regular types. We prove that some of the nice properties from the stable context hold in general. In the case of strongly regular types we will relate to the global Rudin–Keisler order.

Copyright
COPYRIGHT: © The Association for Symbolic Logic 2015 
References
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[1]Adler, H., Casanovas, E., and Pillay, A., Generic stability and stability. arXiv:1210.5957
[2]Gogacz, T. and Krupinski, K., On regular groups and fields. arXiv:1211.3852
[3]Hrushovski, E. and Pillay, A., On NIP and invariant measures. Journal of the European Mathematical Society, vol. 13 (2011), no. 4, pp. 1005–1061.
[4]Lascar, D., Ordre de Rudin–Keisler et poids dans les theories stables. Mathematical Logic Quarterly (formerly Zeitschrift fur Mathematische Logik und Grundlagen der Mathematik), vol. 28 (1982), pp. 413–430.
[5]Lascar, D., Stability in Model Theory, Longman Scientific & Technical, Harlow, 1987.
[6]Krupinski, K., Tanović, P., and Wagner, F. O., Around Podewski’s conjecture. Fundamenta Mathematicae, vol. 22 (2013), pp. 175–193.
[7]Moconja, S. and Tanović, P., Asymmetric regular types. arXiv:1312.0222.
[8]Pillay, A. and Tanović, P., Generic stability, regularity, and quasiminimality, In Models, Logics and Higher-Dimensional Categories: A Tribute to the Work of Mihály Makkai, CRM Proceedings and Lecture Notes, vol. 53 (2011), pp. 189–211.
[9]Poizat, B., A Course in Model Theory, Springer-Verlag, New York, 2000.
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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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