【摘要】 利用ponomarrv’s方法及msss映射的定义,研究了广义度量空间中的点可数覆盖问题.证明了具有σ-局部可数cs -网的空间可以刻划成度量空间的序列覆盖映射和强序列覆盖映射下的象,从而使关于对σ-局部可数族的讨论趋于完整.更多还原

【Abstract】 By the ponomarev′s way and the definition of msss-mapping,this paper studies the point-countable covering problem on the generalized metric space,proving that the spaces with σ-locally countable cs~*-network and cs-network can be characterized by the image of metrizable spaces under sequence-covering mappings and strong sequence-covering mappings.Thus,the study of the spaces with σ-locally countable collectionwise is made more complete.更多还原