摘要
讨论了几种常见的多值序结构及其在拓扑中的应用。具体来说,对任意完备剩余格(Ω,*,1),从多值序的角度出发构造了Ω-滤子Monad(FΩ,η,μ),并据此给出了强Ω-拓扑的邻域结构,并展示了拓扑、序和范畴三种不同的结构之间的密切联系。
In this paper,some kinds of many-valued orders are studied and their application in topology is investigated.In precisely,for an arbitrary complete residuated lattice（Ω,＊,1） ,the Ω-filter Monad（FΩ,η,μ） is constructed from the view-point of many-valued order and then the negighborhood system of strong Ω-topology is presented.This shows the closed interrelationship between topologcial sturcutre,ordered structure and category.
出处
《计算机工程与应用》
CSCD
北大核心
2011年第2期38-40,共3页
Computer Engineering and Applications
基金
教育部科学技术研究重点项目(No.206089)
聊城大学博士基金
关键词
多值序
Monad对角运算
多值拓扑
多值滤子
many-valued orders
Monad diagonal operator
many-valued topology
many-valued filter
