4 citations · 6 across the 8 of their papers we have counts for
4 papers · 1 filter
Essential Circles and Gromov-Hausdorff Convergence of Covers
Conrad Plaut, Jay Wilkins
We give various applications of essential circles (introduced in an earlier paper by the authors) in a compact geodesic space X. Essential circles completely determine the homotopy…
Discrete Homotopy Theory and Critical Values of Metric Spaces
Jim Conant, Victoria Curnutte, Corey Jones +4
Utilizing the discrete homotopy methods developed for uniform spaces by Berestovskii-Plaut, we define the critical spectrum Cr(X) of a metric space, generalizing to the non-geodesi…
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…