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基于非经典逻辑的拓扑及其应用(英文)
Topology Based on Non-classical Logicsand Its Applications
【摘要】 本文给出了基于非经典逻辑的拓扑的一个统一的框架,综述了作者及其合作者近年来在此课题上所取得的一系列结果,指出了这些结果在其它一些课题中的应用及进一步的发展方向.
【Abstract】 : In this paper,we present a uniform framework for topology based on non-classicallogics,summarize a series of our works on this topic,show some of their applications to other sub-jects and point out some directions for further studies.
【关键词】 非经典逻辑;
拓扑学;
不分明集论;
Boole值与Heyting值分析;
线性逻辑;
拓扑模型论;
【Key words】 : non-classical logic; topology; fuzzy set theory; Boolean and Heyting valued anal-ysis; linear logic; topological model theory;
【Key words】 : non-classical logic; topology; fuzzy set theory; Boolean and Heyting valued anal-ysis; linear logic; topological model theory;
【基金】 This Research Has Been Supported by National Foundation of NaturaI Sciences of China ; Tianyuan Foundation of MaThematics
- 【文献出处】 江西师范大学学报(自然科学版) ,Journal of Jiangxi Normal University (Natural Sciences Edition) , 编辑部邮箱 ,1995年01期
- 【分类号】O189
- 【下载频次】80