拓扑空间相对连通性导论

IF 0.7 4区数学 Q2 MATHEMATICS

Bulletin of The Iranian Mathematical Society Pub Date : 2024-06-04 DOI:10.1007/s41980-024-00885-w

Florencio Corona-Vázquez, Jesús Díaz-Reyes, Russell-Aarón Quiñones-Estrella, Javier Sánchez-Martínez

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引用次数: 0

摘要

在本文中，我们介绍了拓扑空间子空间相对连通性的一些版本，并给出了它们之间的一些事实和关系。我们证明这些相对版本满足连通性的一些经典属性。此外，我们将我们的结果应用于超空间理论，旨在解决阿尔汉格尔斯基（Arhangel'skii）提出的一个普遍问题（《卡罗林大学数学评论》36:305-325，1995 年，问题 3）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

An Introduction to Relative Connectedness of Topological Spaces

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An Introduction to Relative Connectedness of Topological Spaces

In this paper, we introduce some versions of relative connectedness of subspaces of a topological space and we give some facts and relations among them. We prove that these relative versions satisfy some of the classical properties of connectedness. Additionally, we apply our results to the theory of hyperspaces, aiming to address a general problem posed by Arhangel’skii (Comment Math Univ Carolin 36:305–325, 1995, Problem 3).

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来源期刊

Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.