计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (2): 38-40.DOI: 10.3778/j.issn.1002-8331.2011.02.012
• 研究、探讨 • 上一篇 下一篇
李令强，金 秋
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LI Lingqiang，JIN Qiu
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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。
关键词: 多值序, Monad对角运算, 多值拓扑, 多值滤子
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.
Key words: many-valued orders, Monad diagonal operator, many-valued topology, many-valued filter
中图分类号:
O189.1
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.
LI Lingqiang，JIN Qiu. Some kinds of many-valued orders and their application in topology[J]. Computer Engineering and Applications, 2011, 47(2): 38-40.
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http://cea.ceaj.org/CN/Y2011/V47/I2/38
