对度量空间和局部可分度量空间的商S象进行了讨论.引入了弱Lindelbf的概念,并研究了它的一些基本性质,给出了度量空间商S象内部性质的刻画.引入相对CS网的概念,给出了局部可分度量空间商S象的判定定理,以及局部可分度量空间的商S象的性质定理.
Some propositions about the quotient s-images of metric spaces and locally separable metric spaces are discussed. After the definition of weak Lindelof is introduced, its basic properties are studied. Then an inner character of the quotient s-images of metric spaces is proved. Using the new definition of relative cs-networks, a property on quotient s-image of locally separable metric spaces is given.