ON THE NUMBER OF COUNTABLE MODELS OF A COUNTABLE NSOP1 THEORY WITHOUT WEIGHT ω

被引：0

作者：

Kim, Byunghan ^{[1
]}

机构：

[1] Yonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South Korea

来源：

JOURNAL OF SYMBOLIC LOGIC | 2019年 / 84卷 / 03期

关键词：

NSOP1; theories; semi-isolation; preweight;

D O I：

10.1017/jsl.2019.47

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we prove that if a countable non-N-0-categorical NSOP1 theory with nonforking existence has finitely many countable models, then there is a finite tuple whose own preweight is omega. This result is an extension of a theorem of the author on any supersimple theory.

引用

页码：1168 / 1175

页数：8

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