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.

引用

页码：141 / 154

页数：14

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