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.

引用

页码：2947 / 2950

页数：4

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