Topologies on the group of homeomorphisms of a Cantor set

被引：0
|
作者：
Bezuglyi, Sergey
Dooley, Anthony H.
Kwiatiowski, Jan
机构：
[1] Inst Low Temp Phys, Dept Math, UA-61103 Kharkov, Ukraine
[2] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia
[3] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2006年 / 27卷 / 02期
关键词：
Cantor set; minimal homeomorphisms; full groups; odometer;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let Homeo(Omega) be the group of all homeomorphisms of a Cantor set Omega. We study topological properties of Homeo(Omega) and its subsets with respect to the uniform (tau) and weak (tau(w)) topologies. The classes of odometers and periodic, aperiodic, minimal, rank 1 homeomorphisms are considered and the closures of those classes in tau and tau(w) are found.
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页码：299 / 331
页数：33
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