THE COLLECTIONWISE HAUSDORFF PROPERTY OF PRODUCTS OF TWO OR THREE SUBSPACES OF ORDINALS

被引：0

作者：

Hirata, Yasushi ^{[1
]}

机构：

[1] Univ Tsukuba, Grad Sch Math, Tsukuba 3058571, Japan

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2009年 / 35卷 / 03期

关键词：

Product; ordinal; stationary set; Pressing Down Lemma; collectionwise Hausdorff; MILD NORMALITY; OMEGA(1); OMEGA(2)(1);

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that every finite power of omega(1) is hereditarily collectionwise Hausdorff [6], [2]. And it is easy to see that there is a subspace of (omega + 1) x (omega(1) + 1) which is not collectionwise Hausdorff. We will prove that every product space of two subspaces of ordinals is collectionwise Hausdorff, but there is a product space of three subspaces of ordinals which is not collectionwise Hausdorff.

引用

页码：891 / 901

页数：11

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