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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 1, Pages 65–81
DOI: https://doi.org/10.33048/smzh.2021.62.106 (Mi smj7538) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Almost $\omega$-categorical weakly $o$-minimal theories of convexity rank $1$

B. Sh. Kulpeshovabc, T. S. Mustafina

a Kazakh–British Technical University, Almaty, Kazakhstan
b Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
c Novosibirsk State Technical University, Novosibirsk, Russia
Full-text PDF (509 kB) Citations (6)
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DOI: https://doi.org/10.33048/smzh.2021.62.106
Abstract: Studying the properties of almost $\omega$-categorical weakly $o$-minimal theories of convexity rank $1$, we prove the orthogonality of every family of pairwise weakly orthogonal nonalgebraic $1$-types in the theories. Also, we establish the binarity of the theories.
Keywords: almost $\omega$-categoricity, weak $o$-minimality, convexity rank, binary theory.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP08855544
This research has been funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP08855544).
Received: 01.06.2020
Revised: 23.10.2020
Accepted: 18.11.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 1, Pages 52–65
DOI: https://doi.org/10.1134/S0037446621010067
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 35R30
Language: Russian
Citation: B. Sh. Kulpeshov, T. S. Mustafin, “Almost $\omega$-categorical weakly $o$-minimal theories of convexity rank $1$”, Sibirsk. Mat. Zh., 62:1 (2021), 65–81; Siberian Math. J., 62:1 (2021), 52–65
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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