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

页码：319 / 342

页数：24

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