On cs-star and compact-star networks at subsets

IF 0.5 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2026-03-15 Epub Date: 2026-01-20 DOI:10.1016/j.topol.2026.109737

Luong Quoc Tuyen , Nguyen Xuan Truc , Ong Van Tuyen

引用次数: 0

Abstract

In this paper, we introduce and investigate the notions of cs-star and compact-star networks at arbitrary subsets in topological spaces, together with their relationships to the images of metric spaces under certain mappings at such subsets. In addition, several new related concepts are proposed, enabling us to establish a number of new results and to recover, as particular cases, some results previously obtained by S. Lin, Y. Ge and X. Zhou (2020).

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关于cs-星型和紧星型网络的子集

本文引入并研究了拓扑空间中任意子集上的cs-star和紧-star网络的概念，以及它们在这些子集上的某些映射下与度量空间象的关系。此外，本文还提出了一些新的相关概念，使我们能够建立一些新的结果，并作为特殊情况恢复了S. Lin、Y. Ge和X. Zhou（2020）先前获得的一些结果。

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.