Observations on a cardinality bound involving the weak Lindelöf degree

IF 0.6 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2025-04-24 DOI:10.1016/j.topol.2025.109405

Désirée Basile , Angelo Bella , Nathan Carlson

引用次数: 0

Abstract

We present partial answers to two questions related to cardinality bounds involving the weak Lindelöf degree. The main tools will be a cardinal invariant which is a sort of “measure of quasi-regularity” and a variation on the classical notion of tightness.

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涉及弱Lindelöf度的基数界的观察

我们给出了涉及弱Lindelöf度的基数界的两个问题的部分答案。主要的工具将是基数不变量，它是一种“准正则性度量”和经典紧性概念的变体。

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.