期刊
ANNALS OF PURE AND APPLIED LOGIC
卷 170, 期 11, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.apal.2019.06.001
关键词
Abstract elementary classes; Universal classes; Multiuniversal classes; Categoricity; Tameness
资金
- National Science Foundation [DMS-1402191]
The third author has shown that Shelah's eventual categoricity conjecture holds in universal classes: class of structures closed under isomorphisms, substructures, and unions of chains. We extend this result to the framework of multiuniversal classes. Roughly speaking, these are classes with a closure operator that is essentially algebraic closure (instead of, in the universal case, being essentially definable closure). Along the way, we prove in particular that Galois (orbital) types in multiuniversal classes are determined by their finite restrictions, generalizing a result of the second author. (C) 2019 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据