m-almost-metrization for APM spaces  

作　　者：刘建军 周忠群 

机构地区：[1]DepartmentofMathematics,SouthwestChinaNormalUniver [2]DepartmentofMathematics,South

出　　处：《西南师范大学学报（自然科学版）》1995年第4期352-355,共4页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：ｍ－ａｌｍｏｓｔ－ｍｅｔｒｉｚａｔｉｏｎｆｏｒＡＰＭｓｐａｃｅｓＬｉｕＪｉａｎｊｕｎ；ＺｈｏｕＺｈｏｎｇｑｕｎ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｏｕｔｈｗｅｓｔＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｃｈｏｎｇｑｉｎｇ，６３０７...In this paper, we have discussed what kind of the almost -probability-metrizabe spaces ad-mits their topology be generated by a family of pseudo-metrics, that is , the generalized metrizable prob-lem , and proved the following theorems :Theorem 1 Every APM space is m-almost-metrizable.Theorem 2 The product APM space of a family of the completion spaces of APM spoces is thecompletion of the product APM space of the family of APM spaces.

关 键 词：APM空间 m-n乎可度量化 

分 类 号：O177[理学—数学]