4 citations · 6 across the 8 of their papers we have counts for
11 papers
Every Continuum has a Compact Universal Cover
Conrad Plaut
We define the compact universal cover of a compact, metrizable connected space (i.e. a continuum) X to be the inverse limit of all continua that regularly cover X. We show that suc…
On the boundaries of geodesically complete CAT(0) spaces
Conrad Plaut
We give concrete, "infinitesimal" conditions for a proper geodesically complete CAT(0) space to have semistable fundamental group at infinity.
Weakly Chained Spaces
Conrad Plaut
We introduce "weakly chained spaces", which need not be locally connected or path connected, but for which one has a reasonable notion of generalized fundamental group and associat…
Spectra related to the length spectrum
Conrad Plaut
We show how to extend the Covering Spectrum (CS) of Sormani-Wei to two spectra, called the Extended Covering Spectrum (ECS) and Entourage Spectrum (ES) that are new for Riemannian…
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 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…