Ab initio generic structures which are superstable but not ω-stable

被引:0
|
作者
Koichiro Ikeda
机构
[1] Hosei University,Faculty of Business Administration
来源
Archive for Mathematical Logic | 2012年 / 51卷
关键词
Generic structures; Superstable theories; -stable theories; 03C45;
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摘要
Let L be a countable relational language. Baldwin asked whether there is an ab initio generic L-structure which is superstable but not ω-stable. We give a positive answer to his question, and prove that there is no ab initio generic L-structure which is superstable but not ω-stable, if L is finite and the generic is saturated.
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页码:203 / 211
页数:8
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