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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 2, Pages 264–276
DOI: https://doi.org/10.17377/smzh.2018.59.203 (Mi smj2970) 		 
This article is cited in 1 scientific paper (total in 2 paper)

Preservation of $\omega$-categoricity in expanding the models of weakly $o$-minimal theories

S. S. Baĭzhanova, B. Sh. Kulpeshovb

a Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
b International Information Technology University, Almaty, Kazakhstan
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DOI: https://doi.org/10.17377/smzh.2018.59.203
Abstract: Studying the model-theoretic properties that are preserved under expansion of the models of countably categorical weakly $o$-minimal theories of finite convexity rank with convex unary predicates, we show that countable categoricity and convexity rank are among these properties.
Keywords: weak $o$-minimality, countable categoricity, convexity rank, expansion.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05132546
The authors were supported by the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP05132546).
Received: 25.03.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 2, Pages 207–216
DOI: https://doi.org/10.1134/S0037446618020039
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 35R30
Language: Russian
Citation: S. S. Baǐzhanov, B. Sh. Kulpeshov, “Preservation of $\omega$-categoricity in expanding the models of weakly $o$-minimal theories”, Sibirsk. Mat. Zh., 59:2 (2018), 264–276; Siberian Math. J., 59:2 (2018), 207–216
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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