摘要
给出了Ｚ－连续偏序集上Ｚ－极小集的概念及其性质和等价刻划，利用Ｚ－极小集的方法阐述了映射的连续性及保Ｚ－Ｂｅｌｏｗ关系和保Ｚ－极小集之间的联系。
The notions of Z minimal subsets on Z continuous partial order sets are defined.The characteristics and properties of Z minimal subsets are investigated.Using the method of the Z minimal subsets,the author explained a few relationships among the continunity of the mapping,preserving the Z below relation and the Z minimal subsets.It is proved that the Z complete lattices are Z continuous if and only if their element exists a Z minimal subset.
出处
《西北师范大学学报（自然科学版）》
CAS
1997年第2期16-19,共4页
Journal of Northwest Normal University(Natural Science)
关键词
Z-完备偏序集
Z-连续偏序集
Z-极小集
拓扑
Z complete partial order sets Z continunous partial order sets Z minimal subsets
