On the background of diffeological vector spaces endowed with D-topology,YANG Zhongqiang and HU Zeying defined quasi-topological vector spaces,which is a vector space with a topology satisfying the conditions that the vector addition is separately continuous and the scalar multiplication is continuous.The subspaces,product spaces,and quotient spaces of quasi-topological vector spaces are studied in this paper and the definition of the category of quasi-topological vector spaces is given.Moreover,it is proved that this category is bicomplete.
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