Base-paracompact spaces

被引：12

作者：

Porter, JE ^{[1
]}

机构：

[1] Murray State Univ, Dept Math & Stat, Murray, KY 42071 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2003年 / 128卷 / 2-3期

关键词：

paracompact; base-paracompact; totally paracompact;

D O I：

10.1016/S0166-8641(02)00109-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A topological space is said to be totally paracompact if every open base of it has a locally finite subcover. It turns out this property is very restrictive. In fact, the irrationals are not totally paracompact. Here we give a generalization, base-paracompact, to the notion of totally paracompactriess, and study which paracompact spaces satisfy this generalization. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：145 / 156

页数：12

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