L-相对乘积空间与Sθ-连通性  

Relative productive spaces in L-topological space and Sθ-connectedness

作　　者：王小霞[1,2] 

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]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《西南民族大学学报（自然科学版）》2008年第6期1111-1113,共3页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：陕西省教育厅科研项目(08JK498)

摘　　要：借助θ-闭包(内部)定义了Sθ-闭集(开集)及Sθ-闭包(内部),研究了连续序同态与Sθ-连续序同态之间的关系;定义了Sθ-同胚序同态,并得出同胚一定Sθ-同胚;通过定义Sθ-隔离给出了Sθ-连通空间的概念;最后证明了Sθ-连通性是拓扑不变性;并且在相对乘积运算下,Sθ-连通性是任意可积的.In this paper, Sθ-open sets and Sθ-closed sets are obtained by the Sθ-closure and Sθ-interior, and Sθ-closure and Sθ-interior are given. The relationship between the continuous order homomorphisms and Sθ- continuous order homomorphisms are researched. Then, the Sθ-homeomorphism is studied and homeomorphism must be Sθ- homeomorphism. Moreover, the concepts of Sθ-connected space are given by the Sθ-separated set. At last, the topological properties of Sθ-connected space are proved and it is productive under the relative product.

关 键 词：L-拓扑空间 L-相对乘积空间 Sθ-连通性 

分 类 号：O189.1[理学—数学]