50 citations · 124 across the 19 of their papers we have counts for
15 papers · 1 filter
Colourful Carathéodory's Theorem plus a constraint
Pavle V. M. Blagojevic
We develop a topological framework in an attempt to generalize the classical colourful Caratheodory theorem by imposing an additional constraint. For that we introduce the notion o…
Convex Equipartitions inspired by the little cubes operad
Pavle V. M. Blagojevic, Nikola Sadovek
A decade ago two groups of authors, Karasev, Hubard and Aronov, and Blagojević and Ziegler, have shown that the regular convex partitions of a Euclidean space into parts yield…
Many partitions of mass assignments
Pavle V. M. Blagojevic, Michael C. Crabb
In this paper, extending the recent work of authors with Calles Loperena and Dimitrijević Blagojević, we give a general and complete treatment of a problem of partition of mass ass…
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…
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…
On highly regular embeddings
Pavle V. M. Blagojevic, Wolfgang Lueck, Guenter M. Ziegler
Given parameters k, l, and d, we give new lower bounds on the dimensions N such that there are maps from R^d to R^N that are k-regular, l-skew embeddings, or k-regular-l-skew embed…