Flow compactifications of nondiscrete monoids, idempotents and Hindman's theorem

被引：0
|
作者：
Ball, RN [1 ]
Hagler, JN [1 ]
机构：
[1] Univ Denver, Dept Math, Denver, CO 80208 USA
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2003年 / 53卷 / 02期
关键词：
flow; Stone-Cech compactification; Hindman's theorem;
D O I：
10.1023/A:1026231202849
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe the extension of the multiplication on a not-necessarily-discrete topological monoid to its flow compactification. We offer two applications. The first is a nondiscrete version of Hindman's Theorem, and the second is a characterization of the projective minimal and elementary flows in terms of idempotents of the flow compactification of the monoid.
引用
收藏
页码：319 / 342
页数：24
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