R. A. Popkov, S. V. Sudoplatov, “Distributions of countable models of theories with continuum many types”, Sib. Èlektron. Mat. Izv., 2015, Volume 12,Pages <nobr>267

This article is cited in 1 paper

Mathematical logic, algebra and number theory

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

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.

UDC: 510.67

MSC: 03C15

Received January 8, 2015, published April 23, 2015

Language: English

DOI: 10.17377/semi.2015.12.022