Continuum many different things: Localisation, anti-localisation and Yorioka ideals

IF 0.6 2区数学 Q2 LOGIC

Annals of Pure and Applied Logic Pub Date : 2024-04-15 DOI:10.1016/j.apal.2024.103453

Miguel A. Cardona , Lukas Daniel Klausner , Diego A. Mejía

引用次数: 0

Abstract

Combining creature forcing approaches from [16] and [8], we show that, under ch, there is a proper $ω^{ω}$ -bounding poset with ℵ₂-cc that forces continuum many pairwise different cardinal characteristics, parametrised by reals, for each one of the following six types: uniformity and covering numbers of Yorioka ideals as well as both kinds of localisation and anti-localisation cardinals, respectively. This answers several open questions from [17].

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延续许多不同的东西：本地化、反本地化和赖冈理想

结合来自和的生物强迫方法，我们证明，在和下，存在一个具有 ℵ-cc 的适当 - 边界正集，它能强迫以下六种类型中的每一种类型都具有连续多对不同的红心特征（以有数为参数）：尤里卡理想的均匀性和覆盖数，以及两种本地化和反本地化红心。这回答了.NET 的几个悬而未决的问题。

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.