论文标题
散射空间同态同态的动力和结构
Dynamics and structure of groups of homeomorphisms of scattered spaces
论文作者
论文摘要
我们研究了散射空间的同态同态群体的拓扑结构和拓扑动力学。对于其中的一大批（包括任何序数空间的同构组或任何局部紧凑的散射空间），我们建立了roelcke-eccompacts and Amenity，对所有封闭的正常亚组进行分类并计算通用最小流量。作为副产品，我们将紧凑型空间的同构群分类为同构。
We study the topological structure and the topological dynamics of groups of homeomorphisms of scattered spaces. For a large class of them (including the homeomorphism group of any ordinal space or of any locally compact scattered space), we establish Roelcke-precompactness and amenability, classify all closed normal subgroups and compute the universal minimal flow. As a by-product, we classify up to isomorphism the homeomorphism groups of compact ordinal spaces.
