A note on the class of paracompact spaces whose product with every paracompact space is paracompact

被引：8

作者：

Alster, K. ^{[1
,2
]}

机构：

[1] Cardinal Stefan Wyszynski Univ Warsaw, Sch Sci, Fac Math & Sci, Warsaw, Poland

[2] Polish Acad Sci, Inst Math, Warsaw, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2009年 / 156卷 / 07期

关键词：

Paracompact; Product spaces; LINDELOF;

D O I：

10.1016/j.topol.2008.12.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that if X is a paracompact space which has a neighborhood assignment x -> H(x) Such that for each y is an element of X the closure of the set (x is an element of X: y is an element of H(x)) is compact then the products T x X, for every paracompact space T, and X(omega) are paracompact. The first result answers a problem of H. Junnila. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：1345 / 1347

页数：3