微小理想和红心不变式的 P 类属性

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2023-11-01 DOI:10.2478/tmmp-2023-0025

Adam Marton

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引用次数: 0

摘要

摘要我们研究了理想的 P 特性的两个特殊修正以及相关的心项不变式 cof𝒥 (ℐ)and cov+(ℐ)。我们给出了一些关于 P (𝒥)-ideals 或非 P (𝒥)-ideals 的存在的结果，这些结果涉及特定的理想类，尤其是 ω 上的微不足道的理想。我们还提供了红心不变量 cof𝒥 (ℐ) 的值，描述了确保特定临界理想的 P(𝒥) 的最小族。此外，对于任何 MAD 族𝒜，我们还可以用弱 P 理想概念得到一个简单的方法来证明严格不等式 Fin 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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P-Like Properties of Meager Ideals and Cardinal Invariants

Abstract We study two particular modifications of the P-property of ideals and related cardinal invariants cof𝒥 (ℐ)and cov+(ℐ). We give some results on the existence of P (𝒥)-ideals or non-P (𝒥)-ideals regarding specific classes of ideals, particularly meager ideals on ω. We also provide values of the cardinal invariant cof𝒥 (ℐ) describing the smallest families ensuring P(𝒥) for particular critical ideals. Moreover, we obtain a simple way of proving strict inequalities Fin

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量