摘要
人们知道每个C-似空间是D-空间,且每个正则弱■-可加细C-散布空间也是D -空间。上述空间类的积空间还是D-空间吗?在这篇文章中作者讨论了该问题,得到如下结论：正则弱■-可加细空间的有限积是D-空间；正则Lindel■f C-散布空间的可数积是D -空间．
It is known that every C-like space is a D-space, and every regular weakly ^-θ- refinable C-scattered space is also a D-space. Is the product of these spaces also a D-space？ In this paper the above question is discussed. It is proved that the finite product of regular weakly ^-θ-refinable C-scattered spaces is a D-space, and the countable product of regular Lindelof C-scattered spaces is a D-space.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2006年第5期653-658,共6页
Acta Mathematica Scientia
基金
北京市委组织部优秀人才项目(KW060120037)资助
