θ_e-开集的拓扑结构

Poincare Journal of Analysis and Applications Pub Date : 2021-12-31 DOI:10.46753/pjaa.2021.v08i02.002

Aldison M. Asdain, M. A. Labendia

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引用次数: 0

摘要

本文的目的是引入一类新的用e-闭包算子定义的开集，我们称之为θe-开集。值得注意的是，所有θe-开集的族形成了一个拓扑。然后，我们研究了这个集合与拓扑中其他众所周知的概念的关系，如经典开集、θ-开集和e-开集。我们还刻画了θe-连通空间的概念，关于θe-开集的分离公理的一些版本，以及从任意拓扑空间到乘积空间的θe-连续函数

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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THE TOPOLOGY OF θ_e-OPEN SETS

. This paper aims is to introduce a new class of open set deﬁned using e -closure operator, which we call the θ e -open set. It is worth noting that the family of all θ e -open sets forms a topology. We then investigate the relationship of this set to the other well-known concepts in topology such as the classical open, θ -open and e -open sets. We also characterize the concepts of θ e -connected space, some versions of separation axioms with respect to θ e -open sets, and θ e -continuous function from an arbitrary topological space into the product space

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来源期刊

Poincare Journal of Analysis and Applications Mathematics-Applied Mathematics

CiteScore

0.60

自引率

0.00%

发文量