Countable paracompactness versus normality in ω12

被引：6
|
作者：
Kemoto, N [1 ]
Smith, KD
Szeptycki, PJ
机构：
[1] Oita Univ, Fac Educ, Dept Math, Oita 87011, Japan
[2] Franklin Coll, Dept Math Sci, Franklin, IN 46131 USA
[3] Ohio Univ, Dept Math, Athens, OH 45701 USA
来源：
TOPOLOGY AND ITS APPLICATIONS | 2000年 / 104卷 / 1-3期
关键词：
normal; countably paracompact; strongly collectionwise Hausdorff; collectionwise Hausdorff; V = L; PMEA;
D O I：
10.1016/S0166-8641(99)00023-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We will see that: (1) In ZFC, for each subspace X subset of or equal to omega(1)(2), the following are equivalent; (a)X is normal, (b) X is countably paracompact and strongly collectionwise Hausdorff, (c) X is expandable. (2) Under a variety of different set-theoretic assumptions (including V = L and PMEA) all countably paracompact subspaces of omega(1)(2) are normal. (3) All subspaces of omega(1)(2) are collectionwise Hausdorff. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：141 / 154
页数：14
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