3 papers
math.CO2017
Tverberg-type theorems for matroids: A counterexample and a proof
Pavle V. M. Blagojević, Albert Haase, Günter M. Ziegler
Bárány, Kalai, and Meshulam recently obtained a topological Tverberg-type theorem for matroids, which guarantees multiple coincidences for continuous maps from a matroid complex to…
math.AT2015
Hyperplane mass partitions via relative equivariant obstruction theory
Pavle V. M. Blagojević, Florian Frick, Albert Haase +1
The Grünbaum-Hadwiger-Ramos hyperplane mass partition problem was introduced by Grünbaum (1960) in a special case and in general form by Ramos (1996). It asks for the "admissible"…
math.AT2015
Topology of the Grünbaum-Hadwiger-Ramos hyperplane mass partition problem
Pavle V. M. Blagojevic, Florian Frick, Albert Haase +1
In 1960 Grünbaum asked whether for any finite mass in there are hyperplanes that cut it into equal parts. This was proved by Hadwiger (1966) for , b…