基于扩展器的Magidor-Radin强制装置，无需顶部扩展器

IF 0.6 2区数学 Q2 LOGIC

Annals of Pure and Applied Logic Pub Date : 2025-03-21 DOI:10.1016/j.apal.2025.103584

Moti Gitik , Sittinon Jirattikansakul

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引用次数: 0

摘要

继续[1]，我们开发了一个基于扩展器的Magidor-Radin强制版本，其中顶部序数上没有扩展器。作为应用，我们提供了另一种方法来获得不可达基数的俱乐部子集上的SCH失败，并提供了一个基数算术行为不同的平稳类的模型，这些平稳类的联合是俱乐部。枢机主教和俱乐部外的共谋者不受强迫的影响。

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Extender-based Magidor-Radin forcings without top extenders

Continuing [1], we develop a version of Extender-based Magidor-Radin forcing where there are no extenders on the top ordinal. As an application, we provide another approach to obtain a failure of SCH on a club subset of an inaccessible cardinal, and a model where the cardinal arithmetic behaviors are different on stationary classes, whose union is the club, is provided. The cardinals and the cofinalities outside the clubs are not affected by the forcings.

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来源期刊

Annals of Pure and Applied Logic 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

200 days

期刊介绍： The journal Annals of Pure and Applied Logic publishes high quality papers in all areas of mathematical logic as well as applications of logic in mathematics, in theoretical computer science and in other related disciplines. All submissions to the journal should be mathematically correct, well written (preferably in English)and contain relevant new results that are of significant interest to a substantial number of logicians. The journal also considers submissions that are somewhat too long to be published by other journals while being too short to form a separate memoir provided that they are of particular outstanding quality and broad interest. In addition, Annals of Pure and Applied Logic occasionally publishes special issues of selected papers from well-chosen conferences in pure and applied logic.