基本解释：覆叠映射
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The mapping φ: X——>Y is a covering mapping if φ is an "k-to-1", open, local homeomorphism.映射:φX——>Y称为覆盖映射,如果φ是k到1的开的局部同胚映射。
Let f be a covering mapping of a compact manifold M without boundary.设ｆ是紧致不带边流形Ｍ上的覆盖映射，证明了ｆ是拟双曲覆盖映射的充分必要条件是（Ｉ－ｆ＊）为单射且有闭值域。
In this paper the relations of compact-covering mappings and some families of subsets are investigated in Ponomaxev-systems,and the following results are obtained.本文讨论了Ponomarev-系中的紧覆盖映射与集族之间的关系,得到如下结果。
In this paper,we give some new characterizations on sn-metrizable spaces,using the concepts of compact-covering mappings,point-star networks and CF families.本文利用紧覆盖映射、点星网、CF族的概念,给出了sn可度量空间的新刻画。
Some discussions on images of locally compact Lindelof spaces are presented by means of compact covering mappings,closed mappings,and quotient mappings,and some characterizations are given to the spaces with a kind of spaces with k system.主要借助于紧覆盖映射、闭映射和商映射讨论了局部紧Lindelf空间的像空间,推导出具有某些特定性质的k系空间的一些刻画,引入强k系的概念给出了局部紧Lindelf空间和仿紧局部紧空间的一种新的等价刻画。
