Vaught's conjecture for weakly $o$-minimal theories of finite convexity rank
- Authors: Kulpeshov B.S.1,2,3
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Affiliations:
- Kazakh-British Technical University
- Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan
- Novosibirsk State Technical University
- Issue: Vol 84, No 2 (2020)
- Pages: 126-151
- Section: Articles
- URL: https://bakhtiniada.ru/1607-0046/article/view/133807
- DOI: https://doi.org/10.4213/im8894
- ID: 133807
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Abstract
We prove that weakly $o$-minimal theories of finite convexity rank having lessthan $2^{\omega}$ countable models are binary. Our main result is theconfirmation of Vaught's conjecture for weakly $o$-minimal theories of finiteconvexity rank.
About the authors
Beibut Shaiykovich Kulpeshov
Kazakh-British Technical University; Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan; Novosibirsk State Technical University
Email: kulpesh@mail.ru
Doctor of physico-mathematical sciences, Professor
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