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ЖУРНАЛЫ // Eurasian Mathematical Journal // Архив
Eurasian Math. J., 2018, том 9, номер 4, страницы 68–78 (Mi emj312)
Эта публикация цитируется в 3 статьях

On relative separability in hypergraphs of models of theories

B. Sh. Kulpeshova, S. V. Sudoplatovbcd

a Department of Mathematical and Computer Modeling, International Information Technology University, 34/1 Manas St, 050040 Almaty, Kazakhstan
b Laboratory of Logic Systems, Sobolev Institute of Mathematics of Siberian Branch of the Russian Academy of Sciences, 4 Academician Koptyug Avenue, 630090 Novosibirsk, Russia
c Department of Algebra and Mathematical Logic, Novosibirsk State Technical University, 20 K. Marx Avenue, 630073 Novosibirsk, Russia
d Department of Algebra and Mathematical Logic, Novosibirsk State University, 1 Pirogov St, 630090 Novosibirsk, Russia

Аннотация: In the paper, notions of relative separability for hypergraphs of models of a theory are defined. Properties of these notions and applications to ordered theories are studied: characterizations of relative separability both in a general case and for almost $\omega$-categorical quite $o$-minimal theories are established.

Ключевые слова и фразы: hypergraph of models, elementary theory, separability, relative separability, quite $o$-minimal theory.

MSC: 03C50, 03C64, 03C35, 05C65, 54A05

Поступила в редакцию: 07.02.2018

Язык публикации: английский

DOI: 10.32523/2077-9879-2018-9-4-68-78



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