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
收藏
页码：393 / 416
页数：24
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