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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 247–254
DOI: https://doi.org/10.33048/semi.2021.18.018 (Mi semr1359) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical logic, algebra and number theory

On almost omega-categoricity of weakly o-minimal theories

A. B. Altayevaab, B. Sh. Kulpeshovcd

a Institute of Mathematics and Mathematical Modeling 125, Pushkin str., 050010, Almaty, Kazakhstan
b Al-Farabi Kazakh National University, 71, Al-Farabi ave., 050040, Almaty, Kazakhstan
c Kazakh British Technical University, 59, Tole bi str., 050000, Almaty, Kazakhstan
d Novosibirsk State Technical University, 20, Karl Marx ave., 630073, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.018
Abstract: Here we prove that weakly o-minimal theories of finite convexity rank having less than $2^{\omega}$ countable models are almost $\omega$-categorical.
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 May 19, 2020, published March 19, 2021
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 03C64
Language: English
Citation: A. B. Altayeva, B. Sh. Kulpeshov, “On almost omega-categoricity of weakly o-minimal theories”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 247–254
Citation in format AMSBIB
\Bibitem{AltKul21}
\by A.~B.~Altayeva, B.~Sh.~Kulpeshov
\paper On almost omega-categoricity of weakly o-minimal theories
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 247--254
\mathnet{http://mi.mathnet.ru/semr1359}
\crossref{https://doi.org/10.33048/semi.2021.18.018}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000641263000001}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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