6 citations · 32 across the 17 of their papers we have counts for
10 papers · 1 filter
Higher horospherical limit sets for G-modules over CAT(0) spaces
Robert Bieri, Ross Geoghegan
The Sigma-invariants of Bieri-Neumann-Strebel and Bieri-Renz involve an action of a discrete group G on a geometrically suitable space M. In the early versions, M was always a fini…
Non-cocompact Group Actions and -Semistability at Infinity
Ross Geoghegan, Craig Guilbault, Michael Mihalik
A finitely presented 1-ended group has {\it semistable fundamental group at infinity} if acts geometrically on a simply connected and locally compact ANR having the pro…
On semistability of groups
Ross Geoghegan, Eric Swenson
Does every one-ended group have semistable fundamental group at infinity? As we write, this is an open question. Let be such a group acting geometrically on the proper…
Semistability and CAT(0) Geometry
Ross Geoghegan
We explain why semistability of a one-ended proper CAT(0) space can be determined by the geodesic rays. This is applied to boundaries of CAT(0) groups.
Limit sets for modules over groups on CAT(0) spaces -- from the Euclidean to the hyperbolic
Robert Bieri, Ross Geoghegan
The observation that the 0-dimensional Geometric Invariant of Bieri-Neumann-Strebel-Renz can be interpreted as a horospherical limit set opens a direct trail from Poin…
Sigma Invariants of Direct Products of Groups
Robert Bieri, Ross Geoghegan
The Product Conjecture for the homological Bieri-Neumann-Strebel-Renz invariants is proved over a field. Under certain hypotheses the Product Conjecture is shown to also hold over…