拓扑系统中的内部元及其应用

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

拓扑系统中的内部元及其应用

白荣荣, 吴洪博^*

陕西师范大学数学与统计学院, 陕西西安 710119

收稿日期:2022-07-06 出版日期:2024-02-28 发布日期:2024-03-04
通讯作者: 吴洪博(1959-),男,陕西咸阳人,教授,博导. Email:wuhb@snnu.edu.cn
基金资助:
国家自然科学基金(61572016,61673250)

Interior elements in topological systems with its applications

BAI Rong-rong, WU Hong-bo

College of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119, China

Received:2022-07-06 Online:2024-02-28 Published:2024-03-04

摘要/Abstract

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.

关键词: 拓扑系统, 内部元, 内部元算子, 连续映射

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 defined by extent mapping and interior element mapping between a set and a frame, and the method determining topological system by the operator of interior elements has been given. The continuous mapping between topological systems is characterized by the interior elements of topological systems.

Key words: topological system, interior element, interior operator, continuous mapping

中图分类号:

白荣荣, 吴洪博. 拓扑系统中的内部元及其应用[J]. 兰州理工大学学报, 2024, 50(1): 146-151.

BAI Rong-rong, WU Hong-bo. Interior elements in topological systems with its applications[J]. Journal of Lanzhou University of Technology, 2024, 50(1): 146-151.