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dc.contributor.authorJojić, Duškoen
dc.contributor.authorNekrasov, Ilyaen
dc.contributor.authorPanina, Gaianeen
dc.contributor.authorŽivaljević, Radeen
dc.date.accessioned2020-04-12T18:03:55Z-
dc.date.available2020-04-12T18:03:55Z-
dc.date.issued2018-01-01en
dc.identifier.issn0350-1302en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/277-
dc.description.abstractWe introduce and study Alexander r-tuples K = 〈K i 〉 i=1r of simplicial complexes, as a common generalization of pairs of Alexander dual complexes (Alexander 2-tuples) and r-unavoidable complexes of [3] and [11]. In the same vein, the Bier complexes, defined as the deleted joins K Δ* of Alexander r-tuples, include both standard Bier spheres and optimal multiple chessboard complexes (Section 2.2) as interesting, special cases. Our main results are Theorem 4.1 saying that (1) the r-fold deleted join of Alexander r-tuple is a pure complex homotopy equivalent to a wedge of spheres, and (2) the r-fold deleted join of a collective unavoidable r-tuple is (n - r - 1)-connected, and a classification theorem (Theorem 5.1 and Corollary 5.1) for Alexander r-tuples and Bier complexes.en
dc.publisherMathematical Institute of the SASA-
dc.relationRussian Science Foundation, grant 16-11-10039-
dc.relationGeometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems-
dc.relationTopology, geometry and global analysis on manifolds and discrete structures-
dc.relation.ispartofPublications de l'Institut Mathematiqueen
dc.subjectAlexander duality | Bier spheres | Chessboard complexes | Discrete Morse theory | Unavoidable complexesen
dc.titleAlexander r-tuples and bier complexesen
dc.typeArticleen
dc.identifier.doi10.2298/PIM1818001Jen
dc.identifier.scopus2-s2.0-85062262563en
dc.relation.firstpage1en
dc.relation.lastpage22en
dc.relation.issue118en
dc.relation.volume104en
dc.description.rankM24-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0001-9801-8839-
crisitem.project.funderMESTD-
crisitem.project.fundingProgramBasic Research (BR or ON)-
crisitem.project.openAireinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174034-
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