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Linearly Ordered Theories which are Nearly Countably Categorical Научная публикация

Журнал

Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876

Вых. Данные

Год: 2017, Том: 101, Номер: 3, Страницы: 94-102 Страниц : 9 DOI: 10.1134/S0001434617030099

Ключевые слова

linear order, almost ω-categoricity, 1-local ω-categoricity, Ehrenfeucht theory, weak o-minimality, quite o-minimality, binary theory, convexity rank

Авторы

Kulpeshov B.Sh. ^1,2 , Sudoplatov S.V. ^2,3,4,5

Организации

1	International Information Technology University
2	Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science of the Republic of Kazakhstan
3	Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
4	Novosibirsk State Technical University
5	Novosibirsk State University

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.

Kulpeshov B.S. , Sudoplatov S.V.
Linearly Ordered Theories which are Nearly Countably Categorical
Mathematical Notes. 2017. V.101. N3. P.94-102. DOI: 10.1134/S0001434617030099 WOS Scopus РИНЦ OpenAlex

Кулпешов Б.Ш. , Судоплатов С.В.
Линейно упорядоченные теории, близкие к счетно категоричным
Математические заметки. 2017. V.101. N3. P.413-424. DOI: 10.4213/mzm11094 РИНЦ OpenAlex

Поступила в редакцию:	7 янв. 2016 г.
Опубликована в печати:	26 апр. 2017 г.
Опубликована online:	26 апр. 2017 г.

Web of science:	WOS:000401454600009
Scopus:	2-s2.0-85018833577
РИНЦ:	41775743
OpenAlex:	W2609024788

БД	Цитирований
Web of science	11
РИНЦ	12
Scopus	10
OpenAlex	17