Shelah’s eventual categoricity conjecture in universal classes: part II

被引：0
|
作者：
Sebastien Vasey
机构：
[1] Carnegie Mellon University,Department of Mathematical Sciences
来源：
Selecta Mathematica | 2017年 / 23卷
关键词：
Abstract elementary classes; Universal classes; Categoricity; Independence; Classification theory; Smoothness; Tameness; Prime models; Primary 03C48; Secondary 03C45; 03C52; 03C55; 03C75; 03E55;
D O I：
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学科分类号：
摘要：
We prove that a universal class categorical in a high-enough cardinal is categorical on a tail of cardinals. As opposed to other results in the literature, we work in ZFC, do not require the categoricity cardinal to be a successor, do not assume amalgamation, and do not use large cardinals. Moreover we give an explicit bound on the “high-enough” threshold:
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页码：1469 / 1506
页数：37
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