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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 3, Pages 484–498
DOI: https://doi.org/10.33048/smzh.2020.61.301 (Mi smj5996) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Binarity of almost $\omega$-categorical quite $o$-minimal theories

A. B. Altaevaab, B. Sh. Kulpeshovcd

a Al-Farabi Kazakh National University
b Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan, Almaty
c Kazakh-British Technical University
d Novosibirsk State Technical University
Full-text PDF (505 kB) Citations (9)
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DOI: https://doi.org/10.33048/smzh.2020.61.301
Abstract: Studying the properties of almost $\omega$-categorical quite $o$-minimal theories, we prove that the arbitrary families of pairwise weakly orthogonal nonalgebraic 1-types in these theories are orthogonal. We also establish the binarity of these theories.
Keywords: almost $\omega$-categoricity, weak $o$-minimality, quite $o$-minimality, binary theory.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05132546
The authors were partially supported by the Ministry of Education and Science of the Republic of Kazakhstan (Grant AP05132546).

Russian Text © The Author(s), 2020, published in Sibirskii Matematicheskii Zhurnal, 2020, Vol. 61, No. 3, pp. 484–498.
Received: 19.09.2019
Revised: 19.09.2019
Accepted: 25.12.2019
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 3, Pages 379–390
DOI: https://doi.org/10.1134/S0037446620030015
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 35R30
Language: Russian
Citation: A. B. Altaeva, B. Sh. Kulpeshov, “Binarity of almost $\omega$-categorical quite $o$-minimal theories”, Sibirsk. Mat. Zh., 61:3 (2020), 484–498; Siberian Math. J., 61:3 (2020), 379–390
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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