6 citations · 32 across the 17 of their papers we have counts for
18 papers
Topological posets and tropical phased matroids
Ulysses Alvarez, Ross Geoghegan
For a discrete poset McCord proved that the natural map from the order complex to the poset equipped with the Up topology is a weak ho…
The Up Topology for Mirrored Topological Posets
Ulysses Alvarez, Ross Geoghegan
For a discrete poset , McCord proved that the natural map , from the order complex to the poset with the Up topology, is a weak homotopy…
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.