基于连续值逻辑［0，1］上的拓扑群  

Topological Groups Based on Continuous Valued Logic[0,1]

作　　者：沈继忠[1] 

机构地区：[1]江西师范大学数学系

出　　处：《工程数学学报》1994年第4期52-64,共13页Chinese Journal of Engineering Mathematics

摘　　要：本文引入了基于连续值逻辑［０，１］上的拓扑群（简称不分明化拓扑群）的概念，并且讨论了此类拓扑群的单位邻域系、子群、商群和同态等结构和性质。Abstract In this paper,we introduce the concept of topological groups based on continuous valued logic[0,l],and discuss the structures and the properties of the unit neighborhood system,subgroups,quotient groups and homomorphism.

关 键 词：不分明化拓扑 拓扑群 连续值逻辑 

分 类 号：O159[理学—数学]