星可数k网与序列覆盖s映射

Star countable k-networks and Sequence-covering s-mappings

证明了在空间具有星可数 k网的条件下 ,度量空间的 1 (2 )序列覆盖 s映象是局部可分度量空间的 1 (2 )序列覆盖、紧覆盖

It is shown that if a space X has a star countable k network, and X is a 1 sequence covering (resp. 2 sequence covering) s image of a metric space, then X is a 1 sequence covering (resp. 2 sequence covering), compact covering s image of a locally separable metric space.