摘要
主要利用开覆盖的局部有限,点有限半开加细及内核保持定向开覆盖的闭包保持闭加细,内核保持开星加细等进一步刻划仿紧映射和亚紧映射.
In this paper metacompact maps and paracompact maps are characerized in terms of locally finite, point-finite semi-open refinements of open covers, and the existence of closure-preserving closed refinements, interior-preserving open star-refinements of interior-preserving directed open covers.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2006年第3期424-432,共9页
Pure and Applied Mathematics
关键词
半开覆盖
内核保持
闭包保持
星加细
semi-open cover, interior-preserving, closure-preserving, star-refinement
