P*-combinations of almost ω-categorical weakly o-minimal theories Научная публикация
| Журнал |
Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962 |
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| Вых. Данные | Год: 2021, Том: 42, Номер: 4, Страницы: 743-750 Страниц : 8 DOI: 10.1134/S1995080221040132 | ||||||||
| Ключевые слова | weak o-minimality, combination of structures, almost ω-categoricity | ||||||||
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Реферат:
We study P∗-combinations of almost ω-categorical weakly o-minimal theories. One of natural questions in the study of such a combination is the question of preserving or weakening certain properties of initial theories. Earlier, criteria for Ehrenfeuchtness of P∗-combinations of countably many ω-categorical ordered theories were obtained. Here we prove that if a P∗-combination of countably many models of almost ω-categorical weakly o-minimal theories preserves
weak o-minimality then it also preserves almost ω-categoricity.
Библиографическая ссылка:
Кулпешов Б.Ш.
, Sudoplatov S.V.
P*-combinations of almost ω-categorical weakly o-minimal theories
Lobachevskii Journal of Mathematics. 2021. V.42. N4. P.743-750. DOI: 10.1134/S1995080221040132 WOS Scopus РИНЦ OpenAlex
P*-combinations of almost ω-categorical weakly o-minimal theories
Lobachevskii Journal of Mathematics. 2021. V.42. N4. P.743-750. DOI: 10.1134/S1995080221040132 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 5 нояб. 2020 г. |
| Принята к публикации: | 15 дек. 2020 г. |
| Опубликована в печати: | 30 мар. 2021 г. |
| Опубликована online: | 30 мар. 2021 г. |
Идентификаторы БД:
| Web of science: | WOS:000658286600008 |
| Scopus: | 2-s2.0-85108831741 |
| РИНЦ: | 45684038 |
| OpenAlex: | W3166724728 |