关于连续Ω-范畴的讨论(英文)  

A note on continuity of Ω-categories

作　　者：闵超[1] 梁基华[1] 

机构地区：[1]四川大学数学学院,成都610064

出　　处：《四川大学学报（自然科学版）》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)

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.

关 键 词：于连 范畴 完全分配 关系 IDEAL 理想 连续性 分配性 PAPER 证明 推论 刻划 

分 类 号：N55[自然科学总论]