There may be exactly n Q-points

IF 0.5 4区数学 Q1 Arts and Humanities

Archive for Mathematical Logic Pub Date : 2026-05-09 DOI:10.1007/s00153-026-01014-6

Lorenz Halbeisen, Silvan Horvath, Tan Özalp

引用次数: 0

Abstract

We generalize the main result of [13] and show the consistency of the statement “There are exactly n Q-points up to isomorphism" for any finite n. Furthermore, we show that the above statement for \(n=2\) can alternatively be obtained by a length-\(\omega _2\) countable support iteration of Matet-Mathias forcing restricted to a Matet-adequate family.

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可能正好有n个q点

我们推广了[13]的主要结果，并证明了对于任意有限n，“在同构之前有n个q点”的一致性。此外，我们还证明了对于\(n=2\)，上述结论可以由长度- \(\omega _2\)的Matet-Mathias强迫的可计数支持迭代得到，该迭代被限制在matet -充足族中。

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.