3 papers
Topology of the Grünbaum--Hadwiger--Ramos problem for mass assignments
Pavle V. M. Blagojević, Jaime Calles Loperena, Michael C. Crabb +1
In this paper, motivated by recent work of Schnider and Axelrod-Freed \& Soberón, we study an extension of the classical Grünbaum--Hadwiger--Ramos mass partition problem to mass as…
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…
Polynomial partitioning for several sets of varieties
Pavle V. M. Blagojević, Aleksandra S. Dimitrijević Blagojević, Günter M. Ziegler
We give a new, systematic proof for a recent result of Larry Guth and thus also extend the result to a setting with several families of varieties: For any integer and any…