Keisler-Shelah同构定理和连续统假设

IF 0.5 3区 数学 Q3 MATHEMATICS
Mohammad Golshani, Saharon Shelah
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引用次数: 1

摘要

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。
The Keisler–Shelah isomorphism theorem and the continuum hypothesis
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
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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.
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