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 | 2011-08-01 | en |
dc.identifier.issn | 0166-8641 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/575 | - |
dc.description.abstract | We prove that any continuous map of an N-dimensional simplex ΔN with colored vertices to a d-dimensional manifold M must map r points from disjoint rainbow faces of ΔN to the same point in M: For this we have to assume that N≥(r-1)(d+1), no r vertices of ΔN get the same color, and our proof needs that r is a prime. A face of ΔN is a rainbow face if all vertices have different colors.This result is an extension of our recent "new colored Tverberg theorem", the special case of M=R{double-Struck}d. It is also a generalization of Volovikov's 1996 topological Tverberg theorem for maps to manifolds, which arises when all color classes have size 1 (i.e., without color constraints); for this special case Volovikov's proof, as well as ours, works when r is a prime power. | en |
dc.publisher | Elsevier | - |
dc.relation | European Union’s Seventh Framework Programme (FP7/2007-2013)/ERC, Grant agreement No. 247029-SDModels | - |
dc.relation | Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security | - |
dc.relation.ispartof | Topology and its Applications | en |
dc.subject | Colored Tverberg problem | Deleted product/join configuration space | Equivariant cohomology | Fadell-Husseini index | Serre spectral sequence | en |
dc.title | A tight colored Tverberg theorem for maps to manifolds | en |
dc.type | Article | en |
dc.identifier.doi | 10.1016/j.topol.2011.05.016 | en |
dc.identifier.scopus | 2-s2.0-79959591649 | en |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.firstpage | 1445 | en |
dc.relation.lastpage | 1452 | en |
dc.relation.issue | 12 | en |
dc.relation.volume | 158 | en |
dc.description.rank | M23 | - |
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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