Locally compact, monotonically normal Dowker space in ZF plus AD

被引：0
作者：
Burke, Dennis K. [1 ]
机构：
[1] Miami Univ, Dept Math, Oxford, OH 45056 USA
来源：
TOPOLOGY AND ITS APPLICATIONS | 2023年 / 328卷
关键词：
Locally compact; Dowker space; Screenable; Normal; Countably paracompact; Collectionwise normal; Monotonically normal; Baire property; Axiom of determinacy; D-space;
D O I：
10.1016/j.topol.2023.108447
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct a locally compact, monotonically normal, screenable, hereditarily paracompact space Y on P x omega in ZFC. The space Y is also a D-space in ZFC. The space Y is shown to be a locally compact, monotonically normal Dowker space and is not a D-space under ZF+AD and other models of set-theory.(c) 2023 Elsevier B.V. All rights reserved.
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页数：8
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