DC Field | Value | Language |
---|---|---|
dc.contributor.author | Blagojević, Pavle | en |
dc.contributor.author | Matschke, Benjamin | en |
dc.contributor.author | Ziegler, Günter | en |
dc.date.accessioned | 2020-04-26T19:36:33Z | - |
dc.date.available | 2020-04-26T19:36:33Z | - |
dc.date.issued | 2011-04-01 | en |
dc.identifier.issn | 0001-8708 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/576 | - |
dc.description.abstract | We prove the following optimal colorful Tverberg-Vrećica type transversal theorem: For prime r and for any k+1 colored collections of points Cl in Rd,Cl= Cili |Cli|=(r-1)(d-k+1)+1,|Cli| ≤ r-1, l=0...,k, there are partitions of the collections Cl into colorful sets F1l...,Frl such that there is a k-plane that meets all the convex hulls conv(Flj),under the assumption that r(d-k) is even or k=0 Along the proof we obtain three results of independent interest: We present two alternative proofs for the special case k=0 (our optimal colored Tverberg theorem (2009) [2]), calculate the cohomological index for joins of chessboard complexes, and establish a new Borsuk-Ulam type theorem for.(Zp)m-equivariant bundles that generalizes results of Volovikov (1996) [17] and Živaljević(1999)[21]. | en |
dc.publisher | Elsevier | - |
dc.relation | Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security | - |
dc.relation.ispartof | Advances in Mathematics | en |
dc.subject | Borsuk-Ulam type theorems | Chessboard complexes | Colored Tverberg theorem | Equivariant cohomology | Fadell-Husseini index | Transversal problems | en |
dc.title | Optimal bounds for a colorful Tverberg-Vrećica type problem | en |
dc.type | Article | en |
dc.identifier.doi | 10.1016/j.aim.2011.01.009 | en |
dc.identifier.scopus | 2-s2.0-79952036902 | en |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.firstpage | 5198 | en |
dc.relation.lastpage | 5215 | en |
dc.relation.issue | 6 | en |
dc.relation.volume | 226 | en |
dc.description.rank | M21a | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | No Fulltext | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | none | - |
item.openairetype | Article | - |
crisitem.project.projectURL | http://www.mi.sanu.ac.rs/novi_sajt/research/projects/174008e.php | - |
crisitem.project.fundingProgram | Directorate for Education & Human Resources | - |
crisitem.project.openAire | info:eu-repo/grantAgreement/NSF/Directorate for Education & Human Resources/1740089 | - |
crisitem.author.orcid | 0000-0003-3649-9897 | - |
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