Abstract
We completely describe countably categorical weakly o-minimal theories of finite convexity rank.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Macpherson H. D., Marker D., and Steinhorn C., “Weakly o-minimal structures and real closed fields,” Trans. Amer. Math. Soc., 352, 5435–5483 (2000).
Kulpeshov B. Sh., “Weakly o-minimal structures and some of their properties,” J. Symb. Log., 63, 1511–1528 (1998).
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).
Kulpeshov B. Sh., “Countably categorical quite o-minimal theories,” J. Math. Sci., 188, No. 4, 387–397 (2013).
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.
Verbovskiy V. V., “On formula depth on weakly o-minimal structures,” in: Algebra and Model Theory [in Russian], Novosibirsk, 1997, pp. 209–223.
Baizhanov B. S., “One-types in weakly o-minimal theories,” in: Proc. Informatics and Control Problems Inst., Almaty, 1996, pp. 75–88.
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.
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).
Kulpeshov B. Sh., “Criterion for binarity of N0-categorical weakly o-minimal theories,” Ann. Pure Appl. Logic, 45, 354–367 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
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.
Rights and permissions
About this article
Cite this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0037446616040054