L-预拓扑空间的强连通集和局部强连通L-预拓扑空间  

Strongly Connected Subsets in L-pre-topological Spaces and Locally Strongly Connected L-pre-topological

作　　者：刘念[1] 伏文清[2] 李生刚[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062 [2]西安工业大学理学院,陕西西安710032

出　　处：《模糊系统与数学》2013年第3期58-62,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11071151);陕西省自然科学基金资助项目(2010JM1005);陕西省教育厅专项科研计划项目(11JK0484)

摘　　要：定义L-预拓扑空间中的强连通L-子集以及L-预拓扑空间的局部强连通性,证明了它们和拓扑空间中的连通子集以及局部连通性拓扑空间有类似的性质,证明了局部强连通L-预拓扑空间和连续映射构成的范畴L-LSCPS是topological construct。The notions strongly connected L-subset in L-pre-topological spaces and locally strongly connected L-pre-topological space are defined in this paper, of which the related properties are proved to be similar to those of connected subset in topological spaces and locally connected topological space. It is showed that the category L-LSCPS of locally strongly connected L-pre-topological spaces and continuous mappings is a topological construct.

关 键 词：L-预拓扑空间 强连通性 连续不变性 积空间 局部强连通性 topological CONSTRUCT 

分 类 号：O189[理学—数学]