Compact groups and fixed point sets

被引：9

作者：

Chigogidze, A

Hofmann, KH

Martin, JR

机构：

[1] Univ Saskatchewan, Dept Math & Stat, Saskatoon, SK S7N 5E6, Canada

[2] TH Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 349卷 / 11期

关键词：

compact group; character group; flow; fixed point set;

D O I：

10.1090/S0002-9947-97-02059-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some structure theorems for compact abelian groups are derived and used to show that every closed subset of an infinite compact metrizable group is the fixed point set of an autohomeomorphism. It is also shown that any metrizable product containing a positive-dimensional compact group as a factor has the property that every closed subset is the fixed point set of an autohomeomorphism.

引用

页码：4537 / 4554

页数：18

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