P*-combinations of almost ω-categorical weakly o-minimal theories Full article
| Journal |
Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962 |
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| Output data | Year: 2021, Volume: 42, Number: 4, Pages: 743-750 Pages count : 8 DOI: 10.1134/S1995080221040132 | ||||||||
| Tags | weak o-minimality, combination of structures, almost ω-categoricity | ||||||||
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Abstract:
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.
Cite:
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
Dates:
| Submitted: | Nov 5, 2020 |
| Accepted: | Dec 15, 2020 |
| Published print: | Mar 30, 2021 |
| Published online: | Mar 30, 2021 |
Identifiers:
| Web of science: | WOS:000658286600008 |
| Scopus: | 2-s2.0-85108831741 |
| Elibrary: | 45684038 |
| OpenAlex: | W3166724728 |