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ЖУРНАЛЫ // Eurasian Mathematical Journal // Архив

Eurasian Math. J., 2020, том 11, номер 3, страницы 66–78 (Mi emj375)

Эта публикация цитируется в 4 статьях

Distributions of countable models of quite $o$-minimal Ehrenfeucht theories

B. Sh. Kulpeshovab, S. V. Sudoplatovcde

a School of Mathematics and Cybernetics, Kazakh-British Technical University, 59 Tole bi St, 050000 Almaty, Kazakhstan
b Institute of Mathematics and Mathematical Modeling, 125 Pushkin St, 050010 Almaty, Kazakhstan
c Laboratory of Logic Systems, Sobolev Institute of Mathematics of Siberian Branch of the Russian Academy of Sciences, 4 Academician Koptyug Avenue, 630090 Novosibirsk, Russia
d Chair of Algebra and Mathematical Logic, Novosibirsk State Technical University, 20 K. Marx Avenue, 630073 Novosibirsk, Russia
e Chair of Algebra and Mathematical Logic, Novosibirsk State University, 1 Pirogov St, 630090 Novosibirsk, Russia

Аннотация: We describe Rudin–Keisler preorders and distribution functions of numbers of limit models for quite $o$-minimal Ehrenfeucht theories. Decomposition formulas for these distributions are found.

Ключевые слова и фразы: quite $o$-minimal theory, Ehrenfeucht theory, distribution of countable models, decomposition formula.

MSC: 03C64, 03C07, 03C15, 03C50

Поступила в редакцию: 29.08.2018

Язык публикации: английский

DOI: 10.32523/2077-9879-2020-11-3-66-78



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