摘要
介绍了连续预序集的概念及其基本性质,得到以连续偏序集为对象,Scott连续函数为态射的范畴CPOSET是以连续预序集为对象,Scott连续函数为态射的范畴CPRSET的反射子范畴.
The concept of continuous pre-ordered sets and its basic properties are introduced. It is showed that the cate- gory CPOSET of continuous posets and Scott continuous functions is a reflective subcategory of the category CPRSET of continuous pre-ordered sets and Scott continuous functions.
出处
《南京师大学报（自然科学版）》
CAS
CSCD
北大核心
2009年第1期16-21,共6页
Journal of Nanjing Normal University(Natural Science Edition)
基金
Supported by the National Natural Science Foundation of China(10731050)
关键词
连续预序集
Scott连续函数
小范畴
continuous pre-ordered sets, Scott continuous functions, small category
