Z-连续偏序集的刻画  

Scott Open Filters on a Continuous Poset

作　　者：饶三平[1] 许广红[2] 

机构地区：[1]南昌工程学院理学系,江西南昌330099 [2]南昌航空大学信息与计算科学院,江西南昌330063

出　　处：《南昌大学学报（理科版）》2009年第2期121-122,126,共3页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(10861007);教育部博士基金资助项目(0020105102019)

摘　　要：在Z-完备偏序集中引入Z-Scott开滤子,并用Z-Scott开滤子的分离性、强分离性刻画Z-连续偏序集,得到Z-连续偏序集的二个刻画定理。Weak approximating elements of continuous poset have significant properties, and play an important role in characterizations of contiuous posets. In this paper, the concept of Scott open filters on continuous posers is introduced and an important property of weak approximating elements is studied. Further more, it discusses the properties of Scott open filters on continuous posets. With the help of Scott open filters, it give some characterizations of continuous posers.

关 键 词：Z-连续偏序集 Z-Scott开滤子 分离性 

分 类 号：O153.1[理学—数学]