R. A. Popkov, S. V. Sudoplatov, “Distributions of countable models of theories with continuum many types”, Сиб. электрон. матем. изв., 2015, том 12,страницы 267

Эта публикация цитируется в 1 статье

Математическая логика, алгебра и теория чисел

Distributions of countable models of theories with continuum many types

R. A. Popkov^a, S. V. Sudoplatov^bac

^a Novosibirsk State Technical University, K. Marx avenue, 20, 630073, Novosibirsk, Russia
^b Sobolev Institute of Mathematics, Academician Koptyug avenue, 4, 630090, Novosibirsk, Russia
^c Novosibirsk State University, ul. Pirogova, 2, 630090, Novosibirsk, Russia

Аннотация: We present distributions of countable models and corresponding structural characteristics of complete theories with continuum many types: for prime models over finite sets relative to Rudin–Keisler preorders, for limit models over types and over sequences of types, and for other countable models of theory.

Ключевые слова: countable model, theory with continuum many types, Rudin–-Keisler preorder, prime model, limit model, premodel set.

УДК: 510.67

MSC: 03C15

Поступила 8 января 2015 г., опубликована 23 апреля 2015 г.

Язык публикации: английский

DOI: 10.17377/semi.2015.12.022