Refining systems of mad families

IF 0.8 2区数学 Q2 MATHEMATICS

Israel Journal of Mathematics Pub Date : 2024-04-24 DOI:10.1007/s11856-024-2626-9

Vera Fischer, Marlene Koelbing, Wolfgang Wohofsky

引用次数: 0

Abstract

We construct a model in which there exists a refining matrix of regular height λ larger than \(\mathfrak{h}\); both \(\lambda = \mathfrak{c}\) and \(\lambda < \mathfrak{c}\) are possible. A refining matrix is a refining system of mad families without common refinement. Of particular interest in our proof is the preservation of \({\cal B}\)-Canjarness.

查看原文本刊更多论文

完善疯人院系统

我们构建了一个模型，在这个模型中存在一个规则高度λ大于\(\mathfrak{h}\)的精炼矩阵；\(\lambda = \mathfrak{c}\)和\(\lambda < \mathfrak{c}\)都是可能的。精炼矩阵是一个由没有共同精炼的疯族组成的精炼系统。我们的证明中特别感兴趣的是\({\cal B}\)-Canjarness的保留。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Israel Journal of Mathematics 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： The Israel Journal of Mathematics is an international journal publishing high-quality original research papers in a wide spectrum of pure and applied mathematics. The prestigious interdisciplinary editorial board reflects the diversity of subjects covered in this journal, including set theory, model theory, algebra, group theory, number theory, analysis, functional analysis, ergodic theory, algebraic topology, geometry, combinatorics, theoretical computer science, mathematical physics, and applied mathematics.