On the non-existence of $\kappa $-mad families

IF 0.3 4区数学 Q1 Arts and Humanities Archive for Mathematical Logic Pub Date : 2023-05-23 DOI:10.1007/s00153-023-00874-6

Haim Horowitz, Saharon Shelah

引用次数: 0

Abstract

Starting from a model with a Laver-indestructible supercompact cardinal $\kappa $, we construct a model of $ZF+DC_{\kappa }$ where there are no $\kappa $-mad families.

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关于不存在$\kappa $疯狂家庭

从一个具有Laver不可破坏超紧基数\（\ kappa）的模型出发，我们构造了一个不存在\（\κ\）疯狂家族的\（ZF+DC_｛\ kappa｝）模型。

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.

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On the non-existence of \(\kappa \)-mad families

Abstract