Search Results - "Blagojević, Aleksandra Dimitrijević"

A problem related to Bárány–Grünbaum conjecture by Blagojević, Pavle V. M., Blagojević, Aleksandra Dimitrijević

“…In this paper we prove that for any absolute continuous Borel probability measure 𝜇 on the sphere 𝑆² and any t ∈ [ 0 , 1 4 ] there exist four great…”
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More Bisections by Hyperplane Arrangements by Blagojević, Pavle V. M., Blagojević, Aleksandra Dimitrijević, Karasev, Roman, Kliem, Jonathan

“…A union of an arrangement of affine hyperplanes H in R d is the real algebraic variety associated to the principal ideal generated by the polynomial p H given…”
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Polynomial partitioning for several sets of varieties by Blagojević, Pavle V. M., Blagojević, Aleksandra S. Dimitrijević, Ziegler, Günter M.

“…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…”
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Using equivariant obstruction theory in combinatorial geometry by Blagojević, Pavle V.M., Dimitrijević Blagojević, Aleksandra S.

“…A significant group of problems coming from the realm of combinatorial geometry can be approached fruitfully through the use of Algebraic Topology. From the…”
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Functions, Measures, and Equipartitioning Convex k-Fans by Barany, Imre, Blagojevic, Pavle, Dimitrijevic Blagojevic, Aleksandra

“…A k -fan in the plane is a point x ∈ℝ 2 and k halflines starting from  x . There are k angular sectors σ 1 ,…, σ k between consecutive halflines. The k -fan is…”
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Equilateral triangles on a Jordan curve and a generalization of a theorem of Dold by Blagojević, Pavle V.M., Blagojević, Aleksandra S. Dimitrijević, McCleary, John

“…Let γ : S 1 → R 2 be a Jordan curve in the plane. It is a simple topological riddle to determine if there is an equilateral triangle with vertices on γ. By…”
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More bisections by hyperplane arrangements by Blagojević, Pavle V. M, Blagojević, Aleksandra Dimitrijević, Karasev, Roman, Kliem, Jonathan

“…Discrete and Computational Geometry 67 (2022), 33--64 A union of an arrangement of affine hyperplanes $H$ in $R^d$ is the real algebraic variety associated to…”
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On diagonal resolvable spheres by Blagojević, Pavle V.M., Dimitrijević Blagojević, Aleksandra, Kočinac, Ljubiša D.R.

“…In this paper we give the complete answer to a question posed by A. Arhangelʼskii and prove that the sphere Sn is diagonal resolvable if and only if Sn is an…”
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Spectral sequences in combinatorial geometry: Cheeses, inscribed sets, and Borsuk–Ulam type theorems by Blagojević, Pavle V.M., Dimitrijević Blagojević, Aleksandra, McCleary, John

“…Algebraic topological methods are especially well suited for determining the non-existence of continuous mappings satisfying certain properties. In…”
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Topology of the Gr\"unbaum--Hadwiger--Ramos problem for mass assignments by Blagojević, Pavle V. M, Loperena, Jaime Calles, Crabb, Michael C, Blagojević, Aleksandra S. Dimitrijević

“…In this paper, motivated by recent work of Schnider and Axelrod-Freed \& Sober\'on, we study an extension of the classical Gr\"unbaum--Hadwiger--Ramos mass…”
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The topological transversal Tverberg theorem plus constraints by Blagojević, Pavle V. M, Blagojević, Aleksandra S. Dimitrijević, Ziegler, Günter M

“…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…”
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Polynomial partitioning for several sets of varieties by Blagojević, Pavle V. M, Blagojević, Aleksandra S. Dimitrijević, Ziegler, Günter M

“…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…”
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EQUIPARTITION OF SPHERE MEASURES BY HYPERPLANES by Blagojevic, Pavle, Dimitrijevic-Blagojevic, Aleksandra, Milosevic, Marko

“…Measure partition problems are classical problems of geometric combinatorics ([1], [2], [3], [4]) whose solutions often use tools from the equivariant…”
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WEIGHTED PARTITIONS OF SPHERE MEASURES BY HYPERPLANES by Blagojevic, Pavle, Dimitrijevic-Blagojevic, Aleksandra, Milosevic, Marko

“…In this paper we use the CS / TM scheme stated in [1] for the V.V. Makeev equipartition problem [7] to prove the existence of new weighted partitions. For the…”
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Borsuk-Ulam Theorems for Complements of Arrangements by Blagojevic, Pavle V. M, Blagojevic, Aleksandra S. Dimitrijevic, McCleary, John

“…In combinatorial problems it is sometimes possible to define a $G$-equivariant mapping from a space $X$ of configurations of a system to a Euclidean space…”
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Using Equivariant Obstruction Theory in Combinatorial Geometry by Blagojevic, Pavle V. M, Blagojevic, Aleksandra S. Dimitrijevic

“…A significant group of problems coming from the realm of Combinatorial Geometry can only be approached through the use of Algebraic Topology. From the first…”
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