摘要
作者引入了理想完备Ω-范畴上的way below关系与完备Ω-范畴上的well below关系,证明了理想完备Ω-范畴上的连续性和完备Ω-范畴上的完全分配性可以分别用这两个关系来刻划,得出了完全分配Ω-范畴连续的推论.
In this paper,the notion of way below relation in an ideal complete Ω-category and the notion of well below relation in a complete Ω-category are introduced and it is shown that continuity of ideal complete Ω-categories and completely distributivity of complete Ω-categories can be characterized by the way below relation and well below relation respectively.Then,as a corollary,it is showed that every completely distributive Ω-category is continuous.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第6期1595-1599,共5页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金重点项目(0020105401084)
