Domain上的扩张定理  

Extension Theorems on Domain

作　　者：周立涛[1] 王戈平[2] 

机构地区：[1]南京气象学院数学系,江苏南京210044 [2]徐州师范大学数学系,江苏徐州221116

出　　处：《徐州师范大学学报（自然科学版）》2003年第4期11-12,15,共3页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10371079)

摘　　要：对定向极小集进行了进一步的研究,给出了Domain中保定向极小集映射与保定向并和《映射之间的等价刻 画及其有关的性质,在此基础上得到了关于保定向极小集映射的两个相应的扩张定理.In this paper,several characters of the directed minimal sets,the equivalent characterizations of the directed minimal sets and the bases for domains are given. Then the mapping preserving the directed minimal sets is introduced. The equivalent characterizations between the mapping preserving the directed minimal sets and the mapping preserving << and the directed supremum are given,so the two corresponding extension theorems are made.

关 键 词：扩张定理 定向极小集 DOMAIN 定向完备偏序集 基 

分 类 号：O153.1[理学—数学] O189.1[理学—基础数学]