论微拓扑空间中的微前邻域

P. Sathishmohan, S. S. Roshan, K. Rajalakshmi
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摘要

目的:本文的基本目的是介绍和研究微预邻、微预内、微预闭和微预极限点的特性。方法: 采用微观预开、微观预闭和微观预极限点的概念:使用微观预开放集、微观预封闭集和微观预衍生集的概念,得出本文的结果。研究结果:本文选择了微观拓扑空间中预开集和预闭集的性质和表征。新颖性:本文展示了微观预开放集、微观预封闭集和微观预派生集的表征之间的关系。美国数学会学科分类:54B05 关键词微观拓扑 微观预内部 微观预封闭 微观预邻域 微观预极限点
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On Micro Pre-Neighborhoods in Micro Topological Spaces
Objective: The basic objective of this article is to introduce and investigate the properties of micro pre-neighborhoods, micro pre-interior, micro pre-closure and micro pre-limit points. Methods: Using the concept of micro pre-open, micro pre-closed and micro pre-derived sets the result of the paper is obtained. Findings: In this article the properties and characterization of pre-open sets and pre-closed sets were opted on Micro topological space. Novelty: The relation between the characterization of micro pre-open sets, micro pre-closed sets and micro pre-derived sets were shown. AMS Subject Classifications: 54B05 Keywords: Micro topology, Micro pre-interior, Micro pre-closure, Micro pre-neighborhoods, Micro pre-limit points
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