Two-cardinal ideal operators and indescribability

IF 0.6 2区数学 Q2 LOGIC

Annals of Pure and Applied Logic Pub Date : 2024-05-13 DOI:10.1016/j.apal.2024.103463

Brent Cody , Philip White

引用次数: 0

Abstract

A well-known version of Rowbottom's theorem for supercompactness ultrafilters leads naturally to notions of two-cardinal Ramseyness and corresponding normal ideals introduced herein. Generalizing results of Baumgartner, Feng and the first author, from the cardinal setting to the two-cardinal setting, we study hierarchies associated with a particular version of two-cardinal Ramseyness and a strong version of two-cardinal ineffability, as well as the relationships between these hierarchies and a natural notion of transfinite two-cardinal indescribability.

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双心理想算子与不可描述性

关于超紧密性超滤波器的罗伯顿定理的一个著名版本自然而然地引出了双心形拉姆齐性的概念和本文介绍的相应法理想。我们将鲍姆加特纳、冯和第一作者的结果从心形环境推广到双心形环境，研究了与特定版本的双心形拉姆齐性和强版本的双心形不可描述性相关的层次结构，以及这些层次结构与无穷双心形不可描述性的自然概念之间的关系。

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

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.