4 papers
Coarse -Boundaries for Groups
Craig R. Guilbault, Molly A. Moran
We generalize Bestvina's notion of a -boundary for a group to that of a "coarse -boundary." We show that established theorems about -boundari…
Boundaries of Baumslag-Solitar Groups
Craig R. Guilbault, Molly A. Moran, Carrie J. Tirel
A -structure on a group was introduced by Bestvina in order to extend the notion of a group boundary beyond the realm of CAT(0) and hyperbolic groups. A refinement…
Proper homotopy types and Z-boundaries of spaces admitting geometric group actions
Craig R. Guilbault, Molly A. Moran
We extend several techniques and theorems from geometric group theory so that they apply to geometric actions on arbitrary proper metric ARs (absolute retracts). A second way that…
A Comparison of Large Scale Dimension of a Metric Space to the Dimension of its Boundary
Craig R. Guilbault, Molly A. Moran
Buyalo and Lebedeva have shown that the asymptotic dimension of a hyperbolic group is equal to the dimension of the group boundary plus one. Among the work presented here is a part…