关于有σ-遗传闭包保持κ-网的可分κ-空间  

ON SEPARABLE k-SPACES WITH A σ- HEREDITARILY CLOSURE - PRESERVING k-NETWORK

作　　者：恽自求[1] 

机构地区：[1]苏州大学数学科学学院,苏州215006

出　　处：《苏州大学学报（自然科学版）》1997年第2期5-8,共4页Journal of Soochow University(Natural Science Edition)

基　　金：Supported by a grant for scholars who got Ph.D.degree abroad from the State Education committee of China;a grant from the Education Committee of Jiangsu Province

摘　　要：本文证明了带有σ—遗传闻包保持k—网的正则可分k—空间X在X的序列式序小于ω_1或X是稀疏空间的条件下是阿列夫空间,从而部分地回答了文[5]中提出的一个问题。In this paper, we proved that a separable regular K-space X with a σ-hereditarily closure - preserving K - network is an -space if the sequential order of X is smaller than w1 or X is scattered, and hence partially answered a question raised in [5].

关 键 词：可列夫空间 σ遗传闭包保持 K网 可分k空间 

分 类 号：O189.1[理学—数学]