AN UPPER BOUND FOR THE CELLULARITY OF THE PHASE SPACE OF A MINIMAL DYNAMICAL SYSTEM

被引：0

作者：

Geschke, Stefan ^{[1
]}

机构：

[1] Bausdorff Ctr Math, D-53115 Bonn, Germany

来源：

TOPOLOGY PROCEEDINGS, VOL 36 | 2010年 / 36卷

关键词：

boundedness; cellularity; minimal dynamical system;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a topological group acting continuously on an infinite compact space X. Suppose the dynamical system (X, G) is minimal. If G is kappa-bounded for some infinite cardinal kappa, then the cellularity of X is at most kappa.

引用

页码：393 / 398

页数：6