Sigma-compactness of Morse boundaries in Morse local-to-global groups and applications to stationary measures
We show that the Morse boundary of a Morse local-to-global group is $\sigma $-compact.
Moreover, we show that the converse holds for small cancellation groups. As an application …
Moreover, we show that the converse holds for small cancellation groups. As an application …
On a generalization of Cannon's conjecture for cubulated hyperbolic groups
C Bregman, M Incerti-Medici - arXiv preprint arXiv:2406.08779, 2024 - arxiv.org
We show that cubulated hyperbolic groups with spherical boundary of dimension 3 or at
least 5 are virtually fundamental groups of closed, orientable, aspherical manifolds, provided …
least 5 are virtually fundamental groups of closed, orientable, aspherical manifolds, provided …
Conicality of Morse Limit Sets and Stability
JD Garcia - 2024 - search.proquest.com
One of the most successful techniques for studying groups acting on metric spaces has been
to study actions on spaces which admit hyperbolic properties. We study a group G acting by …
to study actions on spaces which admit hyperbolic properties. We study a group G acting by …