Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903924 | Topology and its Applications | 2018 | 12 Pages |
Abstract
Let G be a group acting by homeomorphisms on a local dendrite X with countable set of endpoints. In this paper, it is shown that any minimal set M of G is either a finite orbit, or a Cantor set or a circle. Furthermore, we prove that if G is a finitely generated group, then the flow (G,X) is a pointwise recurrent flow if and only if one of the following two statements holds:
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Aymen Haj Salem, Hawete Hattab,