The number of weakly compact convex subsets of the Hilbert space

被引：0
|
作者：
Aviles, Antonio [1 ]
机构：
[1] Univ Paris 07, Equipe Log Math, UFR Math, F-75251 Paris, France
来源：
TOPOLOGY AND ITS APPLICATIONS | 2008年 / 155卷 / 15期
关键词：
uniform Eberlein compact; compact convex set;
D O I：
10.1016/j.topol.2008.05.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for K an uncountable cardinal, there exist 2(K) many nonhomeomorphic weakly compact convex subsets of weight K in the Hilbert space l(2)(K). (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：1720 / 1725
页数：6
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