THE THEORY AND APPLICATIONS OF GENERALIZED H-SPACE  

作　　者：车素兵 

机构地区：[1]Department of Mathematics, Xuzhou Teachers College, Xuzhou

出　　处：《Applied Mathematics and Mechanics(English Edition)》1991年第11期1083-1090,共8页应用数学和力学（英文版）

摘　　要：This paper brings forward the concept of generalized H-spaces which extends the concepts of H-spaces and almost probabilistic metric spaces. In this paper, the uniformity and properties far generalized H-space are considered. The conditions of metrization and the form of metric functions for generalized H-spaces, H-spaces and Menger PM-spaces are given and the characteristics of completeness and compactness for generalized H-spaces are presented. The results of this paper generalize and unify some recent results of [1-2, 8, 10].This paper brings forward the concept of generalized H-spaces which extends the concepts of H-spaces and almost probabilistic metric spaces. In this paper, the uniformity and properties far generalized H-space are considered. The conditions of metrization and the form of metric functions for generalized H-spaces, H-spaces and Menger PM-spaces are given and the characteristics of completeness and compactness for generalized H-spaces are presented. The results of this paper generalize and unify some recent results of [1-2, 8, 10].

关 键 词：uniform spaces H-SPACES probabilistic metric spaces METRIZATION 

分 类 号：O3，O1[理学—力学]