摘要
Some topological properties of cone metric spaces are discussed and proved that every cone metric space （X, d） is complete if and only if every family of closed subsets of X which has the finite intersection property and which for every c ε E, 0 〈〈 c contains a set of diameter less that c has non-empty intersection.
基金
Foundation item： Supported by tile National Natural Science Foundation of China（10971185, 10971186）
Supported by the Research Fund for Higher Education of Fujian Province（JK2011031）
