23 citations · 84 across the 23 of their papers we have counts for
26 papers
Robert J. Daverman (1941-2026)
Gerard Venema, Craig Guilbault
The is an expanded version of a memorial article that is to appear in the Notices of the American Mathematical Society.
A generalized theory of expansions and collapses with applications to Z-compactification
Craig R. Guilbault, Daniel Gulbrandsen
We generalize the dual notions of "expansion" and "collapse" so they can be applied to arbitrary metric spaces. We also expand the theory to allow for infinitely many such moves. T…
Group boundaries for semidirect products with Z
Craig R. Guilbault, Brendan Burns Healy, Brian Pietsch
Bestvina's notion of a Z-structure provides a general framework for group boundaries that includes Gromov boundaries of hyperbolic groups and visual boundaries of CAT(0) groups as…
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…
Compressible Spaces and -Structures
Craig Guilbault, Molly Moran, Kevin Schreve
Bestvina introduced a -structure for a group to generalize the boundary of a CAT(0) or hyperbolic group. A refinement of this notion, introduced by Farrell and Laf…
Extreme Nonuniqueness of End-Sum
Jack S. Calcut, Craig R. Guilbault, Patrick V. Haggerty
We give explicit examples of pairs of one-ended, open 4-manifolds whose end-sums yield uncountably many manifolds with distinct proper homotopy types. This answers strongly in the…