Cardinal invariants and special maps of quasicontinuous functions with the topology of pointwise convergence

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-10-03 DOI:10.4995/agt.2022.16925

Mandeep Kumar, B. Tyagi

引用次数: 0

Abstract

For topological spaces X and Y, let Qp(X,Y) be the space of all quasicontinuous functions from X to Y with the topology of pointwise convergence. In this paper, we study the cardinal invariants such as cellularity, character, weight, density, pseudocharacter and spread of the space Qp(X,Y). We also discuss the properties of the restriction and induced maps related to the space Qp(X,Y).

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具有点向收敛拓扑的拟连续函数的基数不变量和特殊映射

对于拓扑空间X和Y，设Qp(X,Y)为从X到Y具有点向收敛拓扑的所有拟连续函数的空间。本文研究了空间Qp(X,Y)的细胞性、特征、权值、密度、伪特征和扩展等基本不变量。讨论了空间Qp(X,Y)上的约束映射和诱导映射的性质。

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

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.