The Keisler–Shelah isomorphism theorem and the continuum hypothesis

IF 0.5 3区 数学 Q3 MATHEMATICS
Mohammad Golshani, Saharon Shelah
{"title":"The Keisler–Shelah isomorphism theorem and the continuum hypothesis","authors":"Mohammad Golshani, Saharon Shelah","doi":"10.4064/fm198-5-2022","DOIUrl":null,"url":null,"abstract":"We show that if for any two elementary equivalent structures $\\mathbf M, \\mathbf N$ of size at most continuum in a countable language, $\\mathbf M^{\\omega }/ \\mathcal U \\simeq \\mathbf N^\\omega / \\mathcal U$ for some ultrafilter $\\mathcal U$ on $\\omega ,$ t","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":"20 1","pages":"0"},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fundamenta Mathematicae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/fm198-5-2022","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1

Abstract

We show that if for any two elementary equivalent structures $\mathbf M, \mathbf N$ of size at most continuum in a countable language, $\mathbf M^{\omega }/ \mathcal U \simeq \mathbf N^\omega / \mathcal U$ for some ultrafilter $\mathcal U$ on $\omega ,$ t
Keisler-Shelah同构定理和连续统假设
我们证明了如果对于任意两个基本等效结构$\mathbf M, \mathbf N$在可数语言中最多连续体的大小,$\mathbf M^{\omega }/ \mathcal U \simeq \mathbf N^\omega / \mathcal U$对于某些超过滤器$\mathcal U$在$\omega ,$ t上
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Fundamenta Mathematicae
Fundamenta Mathematicae 数学-数学
CiteScore
1.00
自引率
0.00%
发文量
44
审稿时长
6-12 weeks
期刊介绍: FUNDAMENTA MATHEMATICAE concentrates on papers devoted to Set Theory, Mathematical Logic and Foundations of Mathematics, Topology and its Interactions with Algebra, Dynamical Systems.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信