3种连续的非标准刻画  

Non-standard characteristics of three continuities

作　　者：翟美娟[1] 靳永军[2] 魏宗田[1] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055 [2]西安工业大学数理系,陕西西安710032

出　　处：《纺织高校基础科学学报》2008年第3期270-272,共3页Basic Sciences Journal of Textile Universities

基　　金：西安建筑科技大学青年科技基金资助项目(QN0833)

摘　　要：为了用非标准分析方法研究一般的数学问题,在扩大模型下,应用单子理论给出了拓扑等度连续.等度连续和均匀连续的非标准刻画,并利用这些非标准特征证明了这3种连续之间的相互关系.在一定程度上扩大了非标准分析理论的应用范围.For the sake of using the non-standard analysis method to study the general mathematics problems, the nonstandard characteristics of topological equicontinuity, equicontinuity and even continuity in the case of enlargement model are given. Furthermore, some relationships between the three continuities are proved by these nonstandard characteristics. The results enlarge the scale of the applications of non- standard analysis theory to a certain extent.

关 键 词：单子 拓扑等度连续 均匀连续 等度连续 

分 类 号：O141.41[理学—数学]