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math.MG2009★ 4 cited
Covering R-trees, R-free groups, and dendrites
V. N. Berestovskii, C. P. Plaut
We prove that every length space X is the orbit space (with the quotient metric) of an R-tree T via a free action of a locally free subgroup G(X) of isometries of X. The mapping f:…
math.MG2007
Covering R-trees
V. N. Berestovskii, C. Plaut
We show that every inner metric space X is the metric quotient of a complete R-tree via a free isometric action, which we call the covering R-tree of X. The quotient mapping is a w…