We present a complete description of ℵ0-categorical quite o-minimal theories introduced earlier as an extension of the class of o-minimal theories but “quite” inherited various their properties. Bibliography: 6 titles.
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B. Sh. Kulpeshov, “The convexity rank and orthogonality in weakly o-minimal theories,” Izv. Naz. Akad. Nauk Resp. Kazakh., Ser. Fiz.-Mat. 227, 26–31 (2003).
H. D. Macpherson, D. Marker, and Ch. Steinhorn, “Weakly o-minimal structures and real closed fields,” Trans. Am. Math. Soc. 352, 5435–5483 (2000).
B. S. Baizhanov, “Expansion of a model of a weakly o-minimal theory by a family of unary predicates,” J. Symbol. Logic 66, 1382–1414 (2001).
B. Sh. Kulpeshov, “Weakly o-minimal structures and some of their properties,” J. Symbol. Logic 63, 1511–1528 (1998).
B. Sh. Kulpeshov, “Criterion for binarity of ℵ 0-categorical weakly o-minimal theories,” Ann. Pure Appl. Logic 145, No. 3, 354–367 (2007).
A. Pillay and Ch. Steinhorn, “Definable sets in ordered structures I,” Trans. Am. Math. Soc. 295, 565–592 (1986).
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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 11, No. 1, 2011, pp. 45–57
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Kulpeshov, B.S. Countably categorical quite o-minimal theories. J Math Sci 188, 387–397 (2013). https://doi.org/10.1007/s10958-012-1136-1
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DOI: https://doi.org/10.1007/s10958-012-1136-1