DC FieldValueLanguage
dc.contributor.authorŽivaljević, Radeen_US
dc.date.accessioned2020-07-15T11:05:50Z-
dc.date.available2020-07-15T11:05:50Z-
dc.date.issued2020-08-01-
dc.identifier.issn1072-3374-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/3867-
dc.description.abstractWe advocate a systematic study of continuous analogs of finite partially ordered sets, convex polytopes, oriented matroids, arrangements of subspaces, finite simplicial complexes, and other combinatorial structures. Among the illustrative examples reviewed are an Euler formula for a class of “continuous convex polytopes” (conjectured by Kalai and Wigderson), a duality result for a class of “continuous matroids,” a calculation of the Euler characteristic of ideals in the Grassmannian poset (related to a problem of G.-C. Rota), an exposition of the “homotopy complementation formula” for topological posets and its relation to the results of S. Kallel and R. Karoui about “weighted barycenter spaces,” and a conjecture of Vassiliev about simplicial resolutions of singularities. We also include an extension of the index inequality (Sarkaria’s inequality) based on interpreting diagrams of spaces as continuous posets.en_US
dc.publisherSpringer Linken_US
dc.relation.ispartofJournal of Mathematical Sciences (United States)en_US
dc.titleA Glimpse into Continuous Combinatorics of Posets, Polytopes, and Matroidsen_US
dc.typeArticleen_US
dc.identifier.doi10.1007/s10958-020-04910-1-
dc.identifier.scopus2-s2.0-85087462244-
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage762-
dc.relation.lastpage775-
dc.relation.issue6-
dc.relation.volume248-
dc.description.rankM51-
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

Page view(s)

52
checked on May 9, 2024

Google ScholarTM

Check

Altmetric

Altmetric


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