Note on a conjecture of Sierksma

DOI10.1007/BF02189327zbMath0784.52007OpenAlexW2048784051WikidataQ123198576 ScholiaQ123198576MaRDI QIDQ1802219

Rade T. Živaljević, Aleksandar Vučić

Publication date: 16 June 1993

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02189327

zbMATH Keywords

simplexTverberg's theoremfacesgeneral position map

Mathematics Subject Classification ID

Partitions of sets (05A18) Other problems of combinatorial convexity (52A37)

Related Items (16)

On Tverberg partitions ⋮ On the number of Tverberg partitions in the prime power case ⋮ The coloured Tverberg theorem, extensions and new results ⋮ Partitions of nonzero elements of a finite field into pairs ⋮ On the number of colored Birch and Tverberg partitions ⋮ A local criterion for Tverberg graphs ⋮ Equal coefficients and tolerance in coloured Tverberg partitions ⋮ Tverberg's theorem with constraints ⋮ Tverberg’s theorem is 50 years old: A survey ⋮ On the number of Birch partitions ⋮ Projective center point and Tverberg theorems ⋮ The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg ⋮ Invariants of graph drawings in the plane ⋮ Splitting Necklaces, with Constraints ⋮ The topological Tverberg theorem and winding numbers ⋮ Helly-type problems

Cites Work

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• Transformation groups
• Splitting necklaces
• The colored Tverberg's problem and complexes of injective functions
• Kuratowski complexes
• On Lexicographically Shellable Posets
• Shellable and Cohen-Macaulay Partially Ordered Sets
• On a Topological Generalization of a Theorem of Tverberg
• A Generalization of Radon's Theorem

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