2 citations · 7 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
The common basis complex and the partial decomposition poset
Benjamin Brück, Kevin I. Piterman, Volkmar Welker
For a finite-dimensional vector space , the common basis complex of is the simplicial complex whose vertices are the proper non-zero subspaces of , and is a simplex i…
Posets arising from decompositions of objects in a monoidal category
Kevin Ivan Piterman, Volkmar Welker
Given a symmetric monoidal category with product , where the neutral element for the product is an initial object, we consider the poset of -complemented subobj…
On the frame complex of symplectic spaces
Kevin Ivan Piterman
For a symplectic space of dimension over , we compute the eigenvalues of its orthogonality graph. This is the simple graph with vertices the -dimensiona…