A note on productively paracompact spaces

被引：1

作者：

Junnila, Heikki ^{[1
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, Helsinki, Finland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2017年 / 230卷

关键词：

Paracompactness at infinity; Productively paracompact; Neighbornet; COMPACTIFICATIONS; METRIZATION; COVER; GAME;

D O I：

10.1016/j.topol.2017.08.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a paracompact Hausdorff space which is paracompact at infinity (i.e., beta X \ X is paracompact). We show that X x Y is paracompact for every paracompact space Y if, and only if, Player I has a winning strategy in Telgarsky's game G(DC, X). (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：550 / 561

页数：12

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