Article ID Journal Published Year Pages File Type
4660348 Topology and its Applications 2007 6 Pages PDF
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 . 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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology