4 citations · 4 across the 4 of their papers we have counts for
4 papers
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:…
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…
An equivalent condition for a uniform space to be coverable
Conrad Plaut
We prove that an equivalent condition for a uniform space to be coverable is that the images of the natural projections in the fundamental inverse system are uniformly open in a ce…
Generalized Universal Covers of Uniform Spaces
Valera Berestovskii, Conrad Plaut
We develop a generalized covering space theory for a class of uniform spaces called coverable spaces. Coverable spaces include all geodesic metric spaces, connected and locally pat…