Title of article
The nonexistence of expansive commutative group actions on Peano continua having free dendrites
Author/Authors
Mai، نويسنده , , Jiehua and Shi، نويسنده , , Enhui، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2007
Pages
6
From page
33
To page
38
Abstract
A dendrite D in a metric space X is said to be free if there exists a connected open set U in X such that U ¯ = D . In this paper, we prove that there is no expansive commutative group action on any Peano continuum having a free dendrite. In particular, no 1-dimensional compact ANR admits an expansive commutative group action.
Keywords
Homeomorphism , Commutative group action , Expansiveness , Peano continuum , Free dendrite
Journal title
Topology and its Applications
Serial Year
2007
Journal title
Topology and its Applications
Record number
1581516
Link To Document