Some properties of selectively star-ccc spaces

IF 0.6 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2025-03-12 DOI:10.1016/j.topol.2025.109339

Yuan Sun

引用次数: 0

Abstract

In 2013 [2], Aurichi introduced a topological property named selectively ccc that can be viewed as a selective version of the countable chain condition (CCC). Later, Bal and Kočinac in [3] extended Aurichi's work and defined the star version of the selectively ccc property called selectively k-star-ccc. The aim of this paper is twofold. Firstly, we establish connections between the selectively k-star-ccc properties, the chain conditions and other star-Lindelöf properties. Secondly, some examples are presented to solve questions raised by Xuan and Song in [12].

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选择性星-ccc 空间的一些特性

2013 年[2]，Aurichi 提出了一种名为选择性ccc 的拓扑性质，可将其视为可数链条件（CCC）的选择性版本。随后，Bal 和 Kočinac 在 [3] 中扩展了 Aurichi 的工作，定义了选择性 ccc 属性的星形版本，称为选择性 k-星形-ccc。本文的目的有两个。首先，我们建立了选择性 k 星-ccc 性质、链条件和其他星-林德洛夫性质之间的联系。其次，通过一些例子来解决 Xuan 和 Song 在 [12] 中提出的问题。

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

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.