4 citations · 7 across the 4 of their papers we have counts for
5 papers · 1 filter
On the number of colored Birch and Tverberg partitions
Stephan Hell
In 2009, Blagojevic, Matschke & Ziegler established the first tight colored Tverberg theorem, but no lower bounds for the number of colored Tverberg partitions. We develop a colore…
Tverberg's theorem with constraints
Stephan Hell
The topological Tverberg theorem claims that for any continuous map of the (q-1)(d+1)-simplex to R^d there are q disjoint faces such that their images have a non-empty intersection…
On the number of Birch partitions
Stephan Hell
Birch and Tverberg partitions are closely related concepts from discrete geometry. We show two properties for the number of Birch partitions: Evenness, and a lower bound. This impl…
On a topological fractional Helly theorem
Stephan Hell
We prove a new fractional Helly theorem for families of sets obeying topological conditions. More precisely, we show that the nerve of a finite family of open sets (and of subcompl…
On the number of Tverberg partitions in the prime power case
Stephan Hell
We give an extension of the lower bound of Vucic and Zivaljevic for the number of Tverberg partitions from the prime to the prime power case. Our proof is inspired by the Z_p-index…