摘要
讨论了乘积一致结构的单子的刻画 .利用一致结构的单子给出了 Cauchy网及含小集集族的非标准特征 .作为应用给出一致空间几个重要定理的离散化证明 .
The monad of the product uniform structure is discussed.The nonstandard characteristic of Cauchy net and the family of sets including small sets are presented by the monad of the uniform structure.As applications,some important theorems about uniform space are provd by the results above.
出处
《纯粹数学与应用数学》
CSCD
2001年第2期133-137,共5页
Pure and Applied Mathematics
基金
陕西省教育厅专项科研基金!项目 (编号 :0 0 JK2 0 7)
关键词
一致结构的单子
扩大
Cauchy网
含小集的集族
the monad of the uniform structure
enlargment
Cauchy net
the family of sets including small sets
