摘要
本文证明了可数仿紧 (中紧、亚紧 )空间有类似 Junnila的刻画 ,遗传中紧空间不具有类似 Junnila的刻画 ,并给出了每个散射分解有紧有限的开膨胀的充要条件 .
In the paper, we prove that countable paracompact (mesocompact, metacompact) spaces have the Junnila's chracterization and hereditarily mesocompact spaces don't have it. Also, we give the sufficient conditions for a space having the property that its every scattered partition has a compact-finite open expansion.
出处
《数学杂志》
CSCD
北大核心
2005年第1期107-110,共4页
Journal of Mathematics
基金
国家自然科学基金资助项目 (1 0 1 71 0 43 )
关键词
中紧空间
遗传中紧
可数仿紧(中紧、亚紧)
紧有限
散射分解
mesocompact
hereditarily mesocompact
countable paracompact (mesocompact, metacompact)
compact-finite
scattered partion
