14 citations · 32 across the 11 of their papers we have counts for
5 papers · 1 filter
Affine Maps Between CAT(0) Spaces
Hanna Bennett, Christopher Mooney, Ralf Spatzier
We study affine maps between CAT(0) spaces with geometric actions, and show that they essentially split as products of dilations and linear maps (on the Euclidean factor). This ext…
All CAT(0) Boundaries of Croke-Kleiner-Admissible Groups are Equivariantly CE Equivalent]
Craig Guilbault, Christopher Mooney
Question 2.6 of Bestvina's Questions in Geometric Group Theory asks whether every pair of boundaries of a given CAT(0) group G is cell-like equivalent. The question was posed by Be…
Cell-Like Equivalences and Boundaries of CAT(0) Groups
Craig Guilbault, Christopher Mooney
In 2000, Croke and Kleiner showed that a CAT(0) group G can admit more than one boundary. This contrasted with the situation for word hyperbolic groups, where it was well-known tha…
All CAT(0) Boundaries of a Group of the Form HxK are CE Equivalent
Christopher Mooney
M. Bestvina has shown that for any given torsion-free CAT(0) group G, all of its boundaries are shape equivalent. He then posed the question of whether they satisfy the stronger co…
Examples of Non-Rigid CAT(0) Groups from the Category of Knot Groups
Christopher Mooney
C Croke and B Kleiner have constructed an example of a CAT(0) group with more than one visual boundary. J Wilson has proven that this same group has uncountably many distinct bound…