通过子空间混合 M 拓扑实现连通性和紧凑性

IF 0.8 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-07-05 DOI:10.1007/s40010-024-00884-w

Md Mirazul Hoque, Baby Bhattacharya, Binod Chandra Tripathy

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引用次数: 0

摘要

在本文中，我们介绍了 M-连通性与一般拓扑学中类似概念的不同之处，并通过扩展封闭子空间 M 拓扑的概念，介绍了混合 M 拓扑空间中封闭子空间混合 M 拓扑的概念。我们还定义了混合 M 拓扑空间的 M-connectedness 和 M-compactness 概念。我们通过两个子空间混合 M 拓扑来研究 M-connectedness 和 M-compactness 的不同性质。

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Connectedness and Compactness via Subspace Mixed M-Topologies

In the present article, we present how M-connectedness differs from similar concepts in general topology, and the notion of closed subspace mixed M-topology in mixed M-topological space by extending the concept of closed subspace M-topology. We also define the notions of M-connectedness and M-compactness on mixed M-topological spaces. We investigate different properties of M-connectedness and M-compactness via two subspace mixed M-topologies.

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来源期刊

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 综合性期刊-综合性期刊

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： To promote research in all the branches of Science & Technology; and disseminate the knowledge and advancements in Science & Technology