Paracompactness and Strong Screenability
Paracompactness and Strong Screenability
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准紧性和强可筛选性
DOI：
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发表时间：
1955
影响因子：
0.8
通讯作者：
K. Nagami
中科院分区：
文献类型：
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作者：
K. Nagami
在本文中，空间是指T1 -空间。如果一个空间的每个开覆盖都有一个Δ-加细，即一个开覆盖，其中星（x，）形成一个加细的覆盖，则该空间被称为完全正规的。一个空间被称为仿紧的，如果它的每个开覆盖都有一个局部有限（=邻域有限）的开覆盖。在Hausdorff空间中，仿紧性等同于全正规性（[3]，[7]）.
Throughout this paper, a space means a T1 -space. A space is called fully normal if every open covering of it has a Δ-refinement , that is, an open covering for which the stars (x, ) form a covering which refines . A space is called paracompact if every open covering of it has a locally finite (= neighborhood finite) open covering which refines . It is well known that paracompactness is identical with full normality in a Hausdorff space ([3], [7]).