计算机工程与应用2011,Vol.47Issue(2):38-40,3.DOI:10.3778/j.issn.1002-8331.2011.02.012
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.
摘要
Abstract
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 viewpoint 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Key words
many-valued orders/Monad diagonal operator/many-valued topology/many-valued filter分类
数理科学引用本文复制引用
李令强,金秋..几种多值序及其在拓扑中的应用[J].计算机工程与应用,2011,47(2):38-40,3.基金项目
教育部科学技术研究重点项目(No.206089) (No.206089)
聊城大学博士基金. ()