3 papers
math.GR2024
Sigma-compactness of Morse boundaries in Morse local-to-global groups and applications to stationary measures
Vivian He, Davide Spriano, Stefanie Zbinden
We show that the Morse boundary of a Morse local-to-global group is -compact. Moreover, we show that the converse holds for small cancellation groups. As an application, we show…
math.GR2024
Hyperbolic spaces that detect all strongly-contracting directions
Stefanie Zbinden
Given a geodesic metric space , we construct a corresponding hyperbolic space, which we call the contraction space, that detects all strongly contracting directions in the follo…
math.GR2023
Small cancellation groups with and without sigma-compact Morse boundary
Stefanie Zbinden
We provide examples of classical small-cancellation groups which have non-sigma-compact Morse boundary. These are first known examples of groups with non-sigma-compact Morse bounda…