A topological view of ordered groups
A topological view of ordered groups
复制标题
有序群的拓扑视图
DOI：
10.4064/bc103-0-13
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
D. Rolfsen
中科院分区：
文献类型：
--
作者：
D. Rolfsen
我们展示了如何利用拓扑思想，如紧性，来建立无限群的可序性。一个新的应用是为具有边界的连通曲面的PL同胚群提供一个左序，这些连通曲面的边界至少固定在一个边界分量上。这一点在作者和D.Calegari最近的联合工作中得到了扩展。
We show how to use topological ideas, such as compactness, to establish orderability properties of infinite groups. A new application is to provide a left-ordering for the group of PL homeomorphisms of a connected surface with boundary which are fixed on at least one boundary component. This has been extended in recent joint work by the author and D. Calegari.