1 citations · 1 across the 1 of their papers we have counts for
4 papers
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…
The Revised and Uniform Fundamental Groups and Universal Covers of Geodesic Spaces
Jay Wilkins
Sormani and Wei proved in 2004 that a compact geodesic space has a categorical universal cover if and only if its covering/critical spectrum is finite. We add to this several equiv…
Discrete homotopies and the fundamental group
Conrad Plaut, Jay Wilkins
We generalize and strengthen the theorem of Gromov that every compact Riemannian manifold of diameter at most D has a set of generators g_1,...,g_k of length at most 2D and relator…
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…