几种多值序及其在拓扑中的应用  

Some kinds of many-valued orders and their application in topology

作　　者：李令强[1] 金秋[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《计算机工程与应用》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

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.

关 键 词：多值序 Monad对角运算 多值拓扑 多值滤子 

分 类 号：O189.1[理学—数学]