关于ω*开集与连续性的分解

Q3 Mathematics

Topological Algebra and its Applications Pub Date : 2022-01-01 DOI:10.1515/taa-2022-0121

B. Roy, R. Sen

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引用次数: 0

摘要

在本文中，我们的主要兴趣是在理想拓扑空间上引入一种新的拓扑。我们研究了这个新定义的拓扑的一些性质。可以证明，X相对于这个新拓扑是Lindelöf当且仅当它相对于旧拓扑是Lindelöf。我们介绍并研究了ω*-连续性和一些相关概念。最后给出了连续性和ω*-连续性的分解定理。

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On ω*-open sets and decomposition of continuity

Abstract In this paper our main interest is to introduce a new topology on an ideal topological space.We have studied some properties of this newly defined topology. It is shown that X is Lindelöf with respect to this new topology if and only if it is Lindelöf with respect to the old one.We have introduced and studied ω*-continuity and some related notions. Finally we have given decomposition theorem for continuity and ω*-continuity.

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来源期刊

Topological Algebra and its Applications Mathematics-Algebra and Number Theory

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

24 weeks