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Countably categorical weakly o-minimal structures of finite convexity rank

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Abstract

We completely describe countably categorical weakly o-minimal theories of finite convexity rank.

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References

  1. Macpherson H. D., Marker D., and Steinhorn C., “Weakly o-minimal structures and real closed fields,” Trans. Amer. Math. Soc., 352, 5435–5483 (2000).

    Article  MathSciNet  MATH  Google Scholar 

  2. Kulpeshov B. Sh., “Weakly o-minimal structures and some of their properties,” J. Symb. Log., 63, 1511–1528 (1998).

    Article  MathSciNet  MATH  Google Scholar 

  3. Baizhanov B. S., “Expansion of a model of a weakly o-minimal theory by a family of unary predicates,” J. Symb. Log., 66, 1382–1414 (2001).

    Article  MathSciNet  MATH  Google Scholar 

  4. Kulpeshov B. Sh., “Countably categorical quite o-minimal theories,” J. Math. Sci., 188, No. 4, 387–397 (2013).

    Article  MathSciNet  MATH  Google Scholar 

  5. Verbovskiy V. V., “On depth of functions of weakly o-minimal structures and an example of a weakly o-minimal structure without depth o-minimal theories,” in: Proc. Informatics and Control Problems Inst., Almaty, 1996, pp. 207–216.

    Google Scholar 

  6. Verbovskiy V. V., “On formula depth on weakly o-minimal structures,” in: Algebra and Model Theory [in Russian], Novosibirsk, 1997, pp. 209–223.

    Google Scholar 

  7. Baizhanov B. S., “One-types in weakly o-minimal theories,” in: Proc. Informatics and Control Problems Inst., Almaty, 1996, pp. 75–88.

    Google Scholar 

  8. Baizhanov B. S. and Kulpeshov B. Sh., “On behaviour of 2-formulas in weakly o-minimal theories,” in: Math. Logic in Asia/Proc. 9th Asian Logic Conf. (S. Goncharov, R. Downey, and H. Ono, Eds.), World Sci., Singapore, 2006, pp. 31–40.

    Google Scholar 

  9. Herwig B., Macpherson H. D., Martin G., Nurtazin A., and Truss J. K., “On N0-categorical weakly o-minimal structures,” Ann. Pure Appl. Logic, 101, 65–93 (2000).

    Article  MathSciNet  MATH  Google Scholar 

  10. Kulpeshov B. Sh., “Criterion for binarity of N0-categorical weakly o-minimal theories,” Ann. Pure Appl. Logic, 45, 354–367 (2007).

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling, International Information Technology University, Almaty, Kazakhstan

    B. Sh. Kulpeshov

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  1. B. Sh. Kulpeshov
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Correspondence to B. Sh. Kulpeshov.

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Original Russian Text Copyright © 2016 Kulpeshov B.Sh.

Almaty. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 4, pp. 776–791, July–August, 2016; DOI: 10.17377/smzh.2016.57.405. Original article submitted September 3, 2015.

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Kulpeshov, B.S. Countably categorical weakly o-minimal structures of finite convexity rank. Sib Math J 57, 606–617 (2016). https://doi.org/10.1134/S0037446616040054

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  • DOI: https://doi.org/10.1134/S0037446616040054

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