On the Hereditary Paracompactness of Locally Compact, Hereditarily Normal Spaces

被引：6

作者：

Larson, Paul ^{[1
]}

Tall, Franklin D. ^{[2
]}

机构：

[1] Miami Univ, Dept Math, Oxford, OH 45056 USA

[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2014年 / 57卷 / 03期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

locally compact; hereditarily normal; paracompact; Axiom R; PFA(++);

D O I：

10.4153/CMB-2014-010-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish that if it is consistent that there is a supercompact cardinal, then it is consistent that every locally compact, hereditarily normal space that does not include a perfect pre-image of omega(1) is hereditarily paracompact.

引用

页码：579 / 584

页数：6

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