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拓扑系统中的内部元及其应用

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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.
Interior elements in topological systems with its applications
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.

topological systeminterior elementinterior operatorcontinuous mapping

白荣荣、吴洪博

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陕西师范大学数学与统计学院,陕西西安 710119

拓扑系统 内部元 内部元算子 连续映射

国家自然科学基金国家自然科学基金

6157201661673250

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
年,卷(期):2024.50(1)
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