Topology on the spaces of orderings of groups

被引：55
|
作者：
Sikora, AS [1 ]
机构：
[1] SUNY Buffalo, Dept Math, Buffalo, NY 14260 USA
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2004年 / 36卷
关键词：
D O I：
10.1112/S0024609303003060
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A natural topology on the space of left orderings of an arbitrary semi-group is introduced here. This space is proved to be compact, and for free abelian groups it is shown to be homeomorphic to the Cantor set. An application of this result is a new proof of the existence of universal Grobner bases.
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页码：519 / 526
页数：8
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