兰州理工大学学报2024,Vol.50Issue(1) :146-151.

拓扑系统中的内部元及其应用

Interior elements in topological systems with its applications

白荣荣 吴洪博
兰州理工大学学报2024,Vol.50Issue(1) :146-151.

拓扑系统中的内部元及其应用

Interior elements in topological systems with its applications

白荣荣 1吴洪博1
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作者信息

  • 1. 陕西师范大学数学与统计学院,陕西西安 710119
  • 折叠

摘要

在拓扑系统中借助开元引入了子集的内部元概念,讨论了内部元的相关性质;在点集与Frame之间通过范围映射和内部元映射定义了内部元算子,并给出了由内部元算子确定拓扑系统的方法;利用内部元对拓扑系统之间的连续映射进行了等价刻画.

Abstract

The concept of interior elements of subsets has been introduced in topological systems,and the related properties of interior elements have been discussed.The operator of interior elements has been de-fined by extent mapping and interior element mapping between a set and a frame,and the method determi-ning topological system by the operator of interior elements has been given.The continuous mapping be-tween topological systems is characterized by the interior elements of topological systems.

关键词

拓扑系统/内部元/内部元算子/连续映射

Key words

topological system/interior element/interior operator/continuous mapping

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基金项目

国家自然科学基金(61572016)

国家自然科学基金(61673250)

出版年

2024
兰州理工大学学报
兰州理工大学

兰州理工大学学报

CSTPCD北大核心
影响因子:0.57
ISSN:1673-5196
参考文献量16
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