91 citations · 276 across the 48 of their papers we have counts for
4 papers · 1 filter
On hyperbolic groups with spheres as boundary
Arthur Bartels, Wolfgang Lueck, Shmuel Weinberger
Let G be a torsion-free hyperbolic group and let n > 5 be an integer. We prove that G is the fundamental group of a closed aspherical manifold if the boundary of G is homeomorphic…
Relative systoles of relative-essential 2-complexes
Karin U. Katz, Mikhail G. Katz, Stephane Sabourau +2
We prove a systolic inequality for the phi-relative 1-systole of a phi-essential 2-complex, where phi is a homomorphism from the fundamental group of the complex, to a finitely pre…
Functoriality of Isovariant Homotopy Classification
Sylvain Cappell, Shmuel Weinberger, Min Yan
It is a deep fact that the homotopy classification of topological manifolds is convariantly functorial. In other words, a map from a topological manifold M to another N naturally i…
Replacement of fixed sets for compact group actions: The 2ρtheorem
Sylvain Cappell, Shmuel Weinberger, Min Yan
If M and N are equivariantly homotopy equivalent G-manifolds, then the fixed sets M^G and N^G are also homotopy equivalent. The replacement problem asks the converse question: If F…