A Tverberg-type result on multicolored simplices
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Publication:1388134
DOI10.1016/S0925-7721(97)00022-9zbMath0896.68143arXivmath/9603211OpenAlexW1994366967MaRDI QIDQ1388134
Publication date: 8 June 1998
Published in: Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9603211
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Cites Work
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- Intersection patterns of convex sets
- A role of lower semicontinuous functions in the combinatorial complexity of geometric problems
- The colored Tverberg's problem and complexes of injective functions
- The uniformity lemma for hypergraphs
- Bounding the number of geometric permutations induced by \(k\)-transversals
- On the number of halving planes
- A Problem of Geometry in R n
- Regularity lemmas for hypergraphs and quasi-randomness
- A Colored Version of Tverberg's Theorem
- Point Selections and Weak ε-Nets for Convex Hulls
- A Generalization of Radon's Theorem
