Spherical orders, properties and countable spectra of their theories Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2023, Volume: 20, Number: 2, Pages: 588-599 Pages count : 12 DOI: 10.33048/semi.2023.20.034 | ||||||||
| Tags | spherical order, elementary theory, dense spherical order, countably categorical theory, spectrum of countable models, Vaught conjecture | ||||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0012 |
Abstract:
We study semantic and syntactic properties of spherical orders and their elementary theories, including nite and dense orders and their theories. It is shown that theories of dense n-spherical orders are countably categorical and decidable. The values for spectra of countable models of unary expansions of n-spherical theories are described. The Vaught conjecture is con rmed for countable constant expansions of dense n-spherical theories
Cite:
Kulpeshov, B.S.
, Sudoplatov S.V.
Spherical orders, properties and countable spectra of their theories
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. V.20. N2. P.588-599. DOI: 10.33048/semi.2023.20.034 WOS Scopus РИНЦ
Spherical orders, properties and countable spectra of their theories
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. V.20. N2. P.588-599. DOI: 10.33048/semi.2023.20.034 WOS Scopus РИНЦ
Dates:
| Submitted: | Oct 11, 2022 |
| Accepted: | Feb 15, 2023 |
| Published print: | Jul 21, 2023 |
| Published online: | Jul 21, 2023 |
Identifiers:
| Web of science: | WOS:001044387500002 |
| Scopus: | 2-s2.0-85166317960 |
| Elibrary: | 75133063 |