Adding highly generic subsets of ω 2 $\omega _2$

IF 0.4 4区数学 Q4 LOGIC

Mathematical Logic Quarterly Pub Date : 2024-05-27 DOI:10.1002/malq.202300007

Rouholah Hoseini Naveh, Mohammed Golshani, Esfandiar Eslami

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引用次数: 0

Abstract

Starting from the generalized continuum hypothesis ( $GCH$ ), we build a cardinal and $GCH$ preserving generic extension of the universe, in which there exists a set $A \subseteq ω_{2}$ of size $ℵ_{2}$ so that every countably infinite subset of $A$ or $ω_{2} ∖ A$ is Cohen generic over the ground model.

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添加ω2$\omega _2$的高度通用子集

从广义连续统假设（）出发，我们建立了一个宇宙的有心和保全泛函扩展，其中存在一个大小为的集合，使得或的每一个可数无限子集都是地面模型上的科恩泛函。

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来源期刊

Mathematical Logic Quarterly 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical Logic Quarterly publishes original contributions on mathematical logic and foundations of mathematics and related areas, such as general logic, model theory, recursion theory, set theory, proof theory and constructive mathematics, algebraic logic, nonstandard models, and logical aspects of theoretical computer science.