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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
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
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
Linking options:
https://www.mathnet.ru/eng/semr585 https://www.mathnet.ru/eng/semr/v12/p267
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