DC FieldValueLanguage
dc.contributor.authorŽivaljević, Radeen
dc.date.accessioned2020-04-12T18:03:59Z-
dc.date.available2020-04-12T18:03:59Z-
dc.date.issued1999-01-01en
dc.identifier.issn0021-2172en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/308-
dc.description.abstractIt is shown that many classical and many new combinatorial geometric results about finite sets of points in Rd, specially the theorems of Tverberg type, can be generalized to the case of vector bundles, where they become combinatorial geometric statements about finite families of continuous cross-sections. The well known Tverberg-Vrećica conjecture is interpreted as a result of this type and its partial solution is obtained with the aid of the parametrized, ideal-valued, cohomological index theory. In the same spirit, classical "nonembeddability" and "coincidence" results like K3,3 (rightwards arrow with stroke) R2 have higher dimensional analogues. A new ingredient is that the coincidence condition is often interpreted as the existence of a common affine k-dimensional transversal, which reduces to the classical case for k = 0.en
dc.publisherSpringer Link-
dc.relation.ispartofIsrael Journal of Mathematicsen
dc.titleThe Tverberg-Vrećica problem and the combinatorial geometry on vector bundlesen
dc.typeArticleen
dc.identifier.doi10.1007/BF02810677en
dc.identifier.scopus2-s2.0-0038356961en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage53en
dc.relation.lastpage76en
dc.relation.volume111en
dc.description.rankM22-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextnone-
crisitem.author.orcid0000-0001-9801-8839-
Show simple item record

SCOPUSTM   
Citations

26
checked on Jun 14, 2024

Page view(s)

38
checked on May 10, 2024

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.