A NOTE ON ISOMETRIC METRIZATION OF PROBABILISTIC METRIC SPACES  

作　　者：方锦暄 

机构地区：[1]Department of Mathematics, Nanjing Normal University, Nanjing 210024, PRC

出　　处：《Chinese Science Bulletin》1991年第18期1497-1500,共4页

摘　　要：The metrization of a probabilistic metric space (for short, PM-space )usually implies the metrization of its (ε,λ)-topological structure. Therefore, if a PM-space is metrizable, it only implies that its topological properties do not have an essential distinction with metric space. However, PM-spaces also have abundant and unique probabilistic metric properties.<正> The metrization of a probabilistic metric space (for short, PM-space )usually implies the metrization of its (ε,λ)-topological structure. Therefore, if a PM-space is metrizable, it only implies that its topological properties do not have an essential distinction with metric space. However, PM-spaces also have abundant and unique probabilistic metric properties.

关 键 词：(generalized) MENGER SPACE SPACE generated by family of pseudo-metrics metric SPACE isometrically isomorphism. 

分 类 号：N[自然科学总论]