A non-pseudocompact product of countably compact spaces via Seq

被引：4

作者：

Lindgren, WF ^{[1
]}

Szymanski, AA ^{[1
]}

机构：

[1] Slippery Rock Univ, Dept Math, Slippery Rock, PA 16057 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 12期

关键词：

countably compact; extremally disconnected; homogeneous;

D O I：

10.1090/S0002-9939-97-04013-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that under Martin's axiom there are 2(2 omega) spaces which are countably compact extremally disconnected homogeneous such that the product of any two them is not pseudocompact. The spaces are modeled on the space Seq(xi).

引用

页码：3741 / 3746

页数：6

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