Reflection and not SCH with overlapping extenders

IF 0.3 4区数学 Q1 Arts and Humanities

Archive for Mathematical Logic Pub Date : 2021-11-09 DOI:10.1007/s00153-021-00805-3

Moti Gitik

引用次数: 2

Abstract

We use the forcing with overlapping extenders (Gitik in Blowing up the power of a singular cardinal of uncountable cofinality, to appear in JSL) to give a direct construction of a model of \(\lnot \)SCH+Reflection.

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反射和非SCH重叠扩展器

我们使用带重叠扩展器的强迫(参见JSL中不可数共度的奇异基数的幂的爆破)给出了\(\lnot \) SCH+反射模型的直接构造。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archive for Mathematical Logic MATHEMATICS-LOGIC

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal publishes research papers and occasionally surveys or expositions on mathematical logic. Contributions are also welcomed from other related areas, such as theoretical computer science or philosophy, as long as the methods of mathematical logic play a significant role. The journal therefore addresses logicians and mathematicians, computer scientists, and philosophers who are interested in the applications of mathematical logic in their own field, as well as its interactions with other areas of research.