Z-连通极小集及其应用  

Zc-minimal Sets and Their Applications

作　　者：赵娜[1,2] ZHAO Na(Mathematics Staff Room,Changzhi Medical College,Changzhi 046000,Shaanxi;College of Mathematics and Information Sciences,Shaanxi Normal University,Xi’an 710119,Shaanxi)

机构地区：[1]长治医学院数学教研室,山西长治046000 [2]陕西师范大学数学与信息科学学院,陕西西安710119

出　　处：《四川师范大学学报（自然科学版）》2020年第5期613-616,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11601302)。

摘　　要：引入Zc-极小集的概念,给出Zc-连续偏序集及保Zc-集的并且保<<Zc的映射的Zc-极小集刻画,最后得到保Zc-集的并且保Zc的映射的扩张定理.The concept of Zc-minimal sets is defined,and some equivalent characterizations of Zc-continuous poset are introduced. The equivalent characterizations of the mapping preserving supremum of Zc-sets and <<Zc are considered,and then the corresponding extension theorem is given.

关 键 词：Zc-极小集 Zc-连续偏序集 Zc-Scott拓扑 

分 类 号：O153.1[理学—数学]