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dc.contributor.authorBlagojević, Pavleen
dc.contributor.authorMatschke, Benjaminen
dc.contributor.authorZiegler, Günteren
dc.date.accessioned2020-04-26T19:36:33Z-
dc.date.available2020-04-26T19:36:33Z-
dc.date.issued2011-04-01en
dc.identifier.issn0001-8708en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/576-
dc.description.abstractWe 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.publisherElsevier-
dc.relationAdvanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security-
dc.relation.ispartofAdvances in Mathematicsen
dc.subjectBorsuk-Ulam type theorems | Chessboard complexes | Colored Tverberg theorem | Equivariant cohomology | Fadell-Husseini index | Transversal problemsen
dc.titleOptimal bounds for a colorful Tverberg-Vrećica type problemen
dc.typeArticleen
dc.identifier.doi10.1016/j.aim.2011.01.009en
dc.identifier.scopus2-s2.0-79952036902en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage5198en
dc.relation.lastpage5215en
dc.relation.issue6en
dc.relation.volume226en
dc.description.rankM21a-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.grantfulltextnone-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/174008e.php-
crisitem.project.fundingProgramDirectorate for Education & Human Resources-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NSF/Directorate for Education & Human Resources/1740089-
crisitem.author.orcid0000-0003-3649-9897-
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