PFA(S) [S] and countably compact spaces

被引：3

作者：

Dow, Alan ^{[1
]}

Tall, Franklin D. ^{[2
]}

机构：

[1] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

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

来源：

TOPOLOGY AND ITS APPLICATIONS | 2017年 / 230卷

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; Normal; Countably compact; Free sequence; Countably tight; Coherent Souslin tree; PFA(S) [S; Perfect pre-image of omega(1); Paracompact; Sequentially compact; SOUSLIN TREE;

D O I：

10.1016/j.topol.2017.08.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show a number of undecidable assertions concerning countably compact spaces hold under PFA(S) [S]. We also show the consistency without large cardinals of every locally compact, perfectly normal space is paracompact. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：393 / 416

页数：24

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