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Minimality in diagrams of simplicial sets

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dc.creatorBroto, Carlesspa
dc.creatorFlores, Ramónspa
dc.creatorGiraldo, Carlosspa
dc.date.accessioned2020-05-25T23:56:13Z
dc.date.available2020-05-25T23:56:13Z
dc.date.created2019spa
dc.description.abstractWe formulate the concept of minimal fibration in the context of fibrations in the model category SC of C-diagrams of simplicial sets, for a small index category C. When C is an EI-category satisfying some mild finiteness restrictions, we show that every fibration of C-diagrams admits a well-behaved minimal model. As a consequence, we establish a classification theorem for fibrations in SC over a constant diagram, generalizing the classification theorem of Barratt, Gugenheim, and Moore for simplicial fibrations (Barratt et al. in Am J Math 81:639–657, 1959). © 2019, Tbilisi Centre for Mathematical Sciences.eng
dc.format.mimetypeapplication/pdf
dc.identifier.doihttps://doi.org/10.1007/s40062-019-00239-y
dc.identifier.issn21938407
dc.identifier.issn15122891
dc.identifier.urihttps://repository.urosario.edu.co/handle/10336/22365
dc.language.isoengspa
dc.publisherSpringer Verlagspa
dc.relation.citationEndPage1082
dc.relation.citationIssueNo. 4
dc.relation.citationStartPage1043
dc.relation.citationTitleJournal of Homotopy and Related Structures
dc.relation.citationVolumeVol. 14
dc.relation.ispartofJournal of Homotopy and Related Structures, ISSN:21938407, 15122891, Vol.14, No.4 (2019); pp. 1043-1082spa
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85074257921&doi=10.1007%2fs40062-019-00239-y&partnerID=40&md5=de0c18852ba68148aeb5a4c09b719492spa
dc.rights.accesRightsinfo:eu-repo/semantics/openAccess
dc.rights.accesoAbierto (Texto Completo)spa
dc.source.instnameinstname:Universidad del Rosariospa
dc.source.reponamereponame:Repositorio Institucional EdocURspa
dc.subject.keywordDiagramspa
dc.subject.keywordFibre bundlespa
dc.subject.keywordMinimal fibrationspa
dc.subject.keywordSimplicial spacespa
dc.titleMinimality in diagrams of simplicial setsspa
dc.typearticleeng
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersion
dc.type.spaArtículospa
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