空间X的n τφ-核的一些拓扑性质和基数性质

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2023-10-02 DOI:10.4995/agt.2023.17884

F. G. Mukhamadiev

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引用次数: 0

摘要

本文研究了空间X的Nτφ核对拓扑空间的一些拓扑性质和基数性质的影响，证明了空间X的Nτφ核保留了正规空间的密度和网络π权。此外，还证明了空间X的n紧核保留了正常空间的索斯林性质、权值、密度和π -网络权值。

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Some topological and cardinal properties of the Nτφ-nucleus of a space X

In this paper, we study the behavior of some topological and cardinal properties of topological spaces under the influence of the Nτφ -kernel of a space X. It has been proved that the Nτφ-kernel of a space X preserves the density and the network π - weight of normal spaces. Besides, shown that the N-compact kernel of a space X preserves the Souslin properties, the weight, the density, and the π -network weight of normal spaces.

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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.