Uncountable dense categoricity in cats

被引：30

作者：

Ben-Yaacov, I ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

JOURNAL OF SYMBOLIC LOGIC | 2005年 / 70卷 / 03期

关键词：

categoricity; compact abstract theories;

D O I：

10.2178/jsl/1122038916

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that under reasonable assumptions. every cat (compact abstract theory) is metric, and develop some of the theory of metric cats. We generalise Morley's theorem: if a countable Hausdorff cat T has a unique complete model of density character lambda >= omega(1), then it has a unique complete model of density character lambda for every lambda >= omega(1).

引用

页码：829 / 860

页数：32

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