扩大模型的充要条件及其应用

The model of enlargement and its application

为了研究非标准分析中的扩大模型及其在拓扑空间中的应用,利用非标准分析及单子论中的相关知识,给出了非标准分析中扩大模型的三个充要条件,进而将这些条件应用到一般拓扑空间中,通过利用这些条件,证明了拓扑空间中的邻域系及其单子的一些相关特征.

While carrying out the study on the enlargement model in anonstandard analysis and applying it into topological space, three sufficient and necessary conditions of the enlargement model are given and used in topology. Then some characteristic relations between the neighborhood and its monad in the topology space is proved.