Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660348 | Topology and its Applications | 2007 | 6 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Geometry and Topology