Meeting, covering and Shelah's Revised GCH

IF 0.6 4区数学 Q3 MATHEMATICS Topology and its Applications Pub Date : 2024-08-20 DOI:10.1016/j.topol.2024.109044

Pierre Matet

引用次数: 0

Abstract

We revisit the application of Shelah's Revised GCH Theorem [19] to diamond. We also formulate a generalization of the theorem and prove a small fragment of it. Finally we consider another application of the theorem, to covering numbers of the form $cov (-, -, -, ω)$ .

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会议、报道和谢拉的修订版 GCH

我们重温了谢拉的修正 GCH 定理 [19] 在金刚石中的应用。我们还提出了该定理的一般化，并证明了其中的一小部分。最后，我们考虑了该定理在 cov(-,-,-,ω) 形式的覆盖数上的另一种应用。

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

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.

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