Negligible sets in Erdos spaces

被引：2
|
作者：
Dijkstra, Jan J. [1 ]
van Mill, Jan [1 ]
机构：
[1] Vrije Univ, Afdeling Wiskunde, Fac Exacte Wetenschappen, NL-1081 HV Amsterdam, Netherlands
来源：
TOPOLOGY AND ITS APPLICATIONS | 2012年 / 159卷 / 13期
关键词：
Negligible sets; Erdos space; Complete Erdos space; POINT;
D O I：
10.1016/j.topol.2012.05.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that countable unions of nowhere dense C-sets in complete Erdos space are negligible. This improves on a theorem of Kawamura, Oversteegen, and Tymchatyn that sigma-compacta are negligible in that space. We also prove that sigma-compacta are negligible in Erdos space. (c) 2012 Elsevier B.V. All rights reserved.
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页码：2947 / 2950
页数：4
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