12 citations · 32 across the 8 of their papers we have counts for
4 papers · 1 filter
Beyond the Borsuk-Ulam theorem: The topological Tverberg story
Pavle V. M. Blagojević, Günter M. Ziegler
Bárány's "topological Tverberg conjecture" from 1976 states that any continuous map of an -simplex to , for , maps points from disjoint f…
The topological transversal Tverberg theorem plus constraints
Pavle V. M. Blagojević, Aleksandra S. Dimitrijević Blagojević, Günter M. Ziegler
In this paper we use the strength of the constraint method in combination with a generalized Borsuk-Ulam type theorem and a cohomological intersection lemma to show how one can obt…
Unimodular triangulations of dilated 3-polytopes
Francisco Santos, Günter M. Ziegler
A seminal result in the theory of toric varieties, due to Knudsen, Mumford and Waterman (1973), asserts that for every lattice polytope there is a positive integer such tha…
A tight colored Tverberg theorem for maps to manifolds
Pavle V. M. Blagojević, Benjamin Matschke, Günter M. Ziegler
We prove that any continuous map of an N-dimensional simplex Delta_N with colored vertices to a d-dimensional manifold M must map r points from disjoint rainbow faces of Delta_N to…