关于具有星可数K-网的空间

On the space with a star countable K network

证明了如下结果 :( 1)具有σ 紧有限K 网的空间X ,如果它的每个基数为ω1的子空间是序列可分的 ,则X是X0 空间 ;( 2 )一定条件下的闭映射保持具有星可数K

In this paper we prove that the space X having σ compact finit K network,Then X is an X 0 space if any subset of X with cardinality ω 1 is a sequential separable.That result improve Theorem 1 in[1].Also,we show that the existence of Star countable K network is preserved by the closed mappings under some conditions.