利用sn覆盖和cs覆盖概念,以及度量空间的序列覆盖k-映象和1序列覆盖k-映象的内部特征,证明了度量空间上的序列覆盖k-映射是1序列覆盖映射,并构造例子说明度量空间上的序列商k-映射不是序列覆盖映射.
In this note, it is shown that iff : X → Y is a sequence-covering k-mapping and X is a metric space, thenf is a l-sequence-covering mapping. In addition, an example is provided to show a mapping which is a sequential quotient k-mapping, but not sequence-covering, with metric domain.