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利用具有拟平移不变性质的凸锥结构，讨论了赋范拓扑锥的可度量化及其收敛性质，并且给出了完备赋范拓扑锥的纲性和一些相关结果。“,”This paper utilizes quasi-translation invariant properties of convex cone structure,dis-cusses the metrizable and convergence properties in normed topological cone,but also gives the cate-gority of complete normed topological cone and some relevant results.