Email this article Linearly ordered theories which are nearly countably categorical
- Authors: Kulpeshov B.S.1,2, Sudoplatov S.V.2,3,4,5
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Affiliations:
- International Information Technology University
- Institute ofMathematics and Mathematical Modeling
- Sobolev Institute of Mathematics
- Novosibirsk State Technical University
- Novosibirsk State University
- Issue: Vol 101, No 3-4 (2017)
- Pages: 475-483
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150009
- DOI: https://doi.org/10.1134/S0001434617030099
- ID: 150009
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Abstract
The notions of almost ω-categoricity and 1-local ω-categoricity are studied. In particular, necessary and sufficient conditions for their equivalence under additional assumptions are found. It is proved that 1-local ω-categorical theories on dense linear orders are Ehrenfeucht and that Ehrenfeucht quite o-minimal binary theories are almost ω-categorical.
About the authors
B. Sh. Kulpeshov
International Information Technology University; Institute ofMathematics and Mathematical Modeling
Author for correspondence.
Email: b.kulpeshov@iitu.kz
Kazakhstan, Almaty; Almaty
S. V. Sudoplatov
Institute ofMathematics and Mathematical Modeling; Sobolev Institute of Mathematics; Novosibirsk State Technical University; Novosibirsk State University
Email: b.kulpeshov@iitu.kz
Kazakhstan, Almaty; Novosibirsk; Novosibirsk; Novosibirsk
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