Title of article :
An example of a chaotic group action on Euclidean space by compactly supported homeomorphisms
Author/Authors :
Cairns، نويسنده , , Grant and Pham، نويسنده , , Thanh Duong، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2007
Abstract :
We give an example of a group action on Euclidean space for which each map in the action is compactly supported, and such that the action is chaotic in the sense that it is topologically transitive and the set of points with finite orbit is dense. This resolves a conjecture of Naolekar and Sankaran.
Keywords :
Chaos , Group action
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications