15 citations · 21 across the 3 of their papers we have counts for
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math.GT2018★ 6 cited
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…
math.GT2013
On the dimension of Z-sets
Craig R. Guilbault, Carrie J. Tirel
We offer a short and elementary proof that, for a Z-set A in a finite-dimensional ANR Y, dimA<dimY. This result is relevant to the study of group boundaries. The original proof by…
math.GT2010★ 15 cited
Z-Structures on Product Groups
Carrie J. Tirel
A Z-structure on a group G, defined by M. Bestvina, is a pair (\hat{X}, Z) of spaces such that \hat{X} is a compact ER, Z is a Z-set in \hat{X}, G acts properly and cocompactly on…