DISTRIBUTIONS OF COUNTABLE MODELS OF THEORIES WITH CONTINUUM MANY TYPES

被引:1
|
作者
Popkov, R. A. [1 ]
Sudoplatov, S. V. [1 ,2 ,3 ]
机构
[1] Novosibirsk State Tech Univ, K Marx Ave 20, Novosibirsk 630073, Russia
[2] Sobolev Inst Math, Novosibirsk 630090, Russia
[3] Novosibirsk State Univ, Novosibirsk 630090, Russia
关键词
countable model; theory with continuum many types; Rudin-Keisler preorder; prime model; limit model; premodel set;
D O I
10.17377/semi.2015.12.022
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
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页码:267 / 291
页数:25
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