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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 267–291
DOI: https://doi.org/10.17377/semi.2015.12.022 (Mi semr585) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

Distributions of countable models of theories with continuum many types

R. A. Popkova, S. V. Sudoplatovbac

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
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DOI: https://doi.org/10.17377/semi.2015.12.022
Abstract: 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.
Keywords: countable model, theory with continuum many types, Rudin–-Keisler preorder, prime model, limit model, premodel set.
Received January 8, 2015, published April 23, 2015
Document Type: Article
UDC: 510.67
MSC: 03C15
Language: English
Citation: R. A. Popkov, S. V. Sudoplatov, “Distributions of countable models of theories with continuum many types”, Sib. Èlektron. Mat. Izv., 12 (2015), 267–291
Citation in format AMSBIB
\Bibitem{PopSud15}
\by R.~A.~Popkov, S.~V.~Sudoplatov
\paper Distributions of countable models of theories with continuum many types
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 267--291
\mathnet{http://mi.mathnet.ru/semr585}
\crossref{https://doi.org/10.17377/semi.2015.12.022}
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