A New Version of Orthogonality for 1-Types in Weakly o-Minimal Theories Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2024, Volume: 63, Number: 4, Pages: 270-283 Pages count : 14 DOI: 10.1007/s10469-025-09791-4 | ||||||
| Tags | weak o-minimality, orthogonality, Vaught’s conjecture, countable model, convexity rank | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0012 |
Abstract:
We introduce a new version of orthogonality for nonalgebraic 1-types in weakly ominimal theories, that of almost quite orthogonality. It is stated that the non almost quite orthogonality relation is an equivalence relation. The main result is a criterion for a weakly o-minimal theory of finite convexity rank with 1 < I(T,ω) < 2ω to have exactly 3m6l countable pairwise nonisomorphic models for some nonnegative integers m, l < ω in terms of the orthogonality version presented.
Cite:
Kulpeshov B.S.
, Sudoplatov S.V.
A New Version of Orthogonality for 1-Types in Weakly o-Minimal Theories
Algebra and Logic. 2024. V.63. N4. P.270-283. DOI: 10.1007/s10469-025-09791-4 WOS Scopus OpenAlex
A New Version of Orthogonality for 1-Types in Weakly o-Minimal Theories
Algebra and Logic. 2024. V.63. N4. P.270-283. DOI: 10.1007/s10469-025-09791-4 WOS Scopus OpenAlex
Original:
Кулпешов Б.Ш.
, Судоплатов С.В.
О новом варианте ортогональности 1-типов в слабо о-минимальных теориях
Алгебра и логика. 2024. Т.63. №4. С.406-426. DOI: 10.33048/alglog.2024.63.404
О новом варианте ортогональности 1-типов в слабо о-минимальных теориях
Алгебра и логика. 2024. Т.63. №4. С.406-426. DOI: 10.33048/alglog.2024.63.404
Dates:
| Submitted: | Nov 21, 2022 |
| Accepted: | Jun 7, 2023 |
| Published print: | Sep 1, 2025 |
| Published online: | Sep 1, 2025 |
Identifiers:
| Web of science: | WOS:001561486200001 |
| Scopus: | 2-s2.0-105014875228 |
| OpenAlex: | W4413878378 |
Citing:
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