2 citations · 2 across the 6 of their papers we have counts for
4 papers · 1 filter
An analogue of Rognes' connectivity conjecture for free groups
Benjamin Brück, Jeremy Miller, Kevin Ivan Piterman
We show that the common basis complex of a free group of rank has the homotopy type of a wedge of spheres of dimension . This establishes an -analogue…
Posets of decompositions in spherical buildings
Kevin Ivan Piterman, John Shareshian, Volkmar Welker
We propose definitions of the common bases complex, the poset of decompositions, and the poset of partial decompositions for arbitrary spherical buildings. We show that the poset o…
Notes on the topology of independence structures
Kevin Ivan Piterman, Volkmar Welker
Following Welsh, a pre-independence space (pi-space) is a set together with a non-empty collection of subsets of , called independent sets, which is closed under taki…
On reducible Killing forms for groups of Lie type
Kevin Ivan Piterman, Charlotte Roelants
Killing forms on finite groups arise as examples of braided Killing forms on braided Lie algebras. For a finite group and a -stable subset , the Killing form as…