4 papers
Roundness properties of groups
J. -F. Lafont, S. Prassidis
Roundness of metric spaces was introduced by Per Enflo as a tool to study uniform structures of linear topological spaces. The present paper investigates geometric and topological…
Strong Jordan separation and applications to rigidity
J. -F. Lafont
We prove that simple, thick hyperbolic P-manifolds of dimension >2 exhibit Mostow rigidity. We also prove a quasi-isometry rigidity result for the fundamental groups of simple, thi…
Rigidity results for certain 3-dimensional singular spaces and their fundamental groups
J. -F. Lafont
In this paper, we introduce a particularly nice family of locally CAT(-1) spaces, which we call hyperbolic P-manifolds. For a simple, thick hyperbolic P-manifold of dimension…
EZ-structures and topological applications
F. T. Farrell, J. -F. Lafont
We introduce the notion of an EZ-structure on a group. Delta-hyperbolic groups and CAT(0)-groups have EZ-structures. We show torsion-free groups having an EZ-structure automaticall…