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Izvestiya: Mathematics, 2020, Volume 84, Issue 2, Pages 324–347
DOI: https://doi.org/10.1070/IM8894 (Mi im8894) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Vaught's conjecture for weakly $o$-minimal theories of finite convexity rank

B. Sh. Kulpeshovabc

a Kazakh-British Technical University
b Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan
c Novosibirsk State Technical University
English version PDF (557 kB) Citations (5) Russian version article
References:
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DOI: https://doi.org/10.1070/IM8894
Abstract: We prove that weakly $o$-minimal theories of finite convexity rank having less than $2^{\omega}$ countable models are binary. Our main result is the confirmation of Vaught's conjecture for weakly $o$-minimal theories of finite convexity rank.
Keywords: weak $o$-minimality, Vaught's conjecture, countable model, convexity rank, binarity.
Funding agency Grant number
Комитет науки Министерства образования и науки Республики Казахстан АР05132546
This research was supported by the Committee of Science in Education and the Science Ministry of the Republic of Kazakhstan (grant no. AP05132546).
Received: 13.01.2019
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: Primary 03C64; Secondary 03C15, 03C07, 03C50
Language: English
Original paper language: Russian
Citation: B. Sh. Kulpeshov, “Vaught's conjecture for weakly $o$-minimal theories of finite convexity rank”, Izv. Math., 84:2 (2020), 324–347
Citation in format AMSBIB
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\by B.~Sh.~Kulpeshov
\paper Vaught's conjecture for weakly $o$-minimal theories of~finite convexity rank
\jour Izv. Math.
\yr 2020
\vol 84
\issue 2
\pages 324--347
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  • https://doi.org/10.1070/IM8894
  • https://www.mathnet.ru/eng/im/v84/i2/p126
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:335
    Russian version PDF:41
    English version PDF:28
    References:31
    First page:8
     
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