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dc.creatorChachólski, Wojcieches
dc.creatorFarjoun, Emmanuel Drores
dc.creatorFlores Díaz, Ramón Jesúses
dc.creatorScherer, Jérômees
dc.date.accessioned2017-10-31T12:17:57Z
dc.date.available2017-10-31T12:17:57Z
dc.date.issued2015-10
dc.identifier.citationChachólski, W., Farjoun, E.D., Flores Díaz, R.J. y Scherer, J. (2015). Cellular properties of nilpotent spaces. Geometry and Topology, 19 (5), 2741-2766.
dc.identifier.issn1465-3060es
dc.identifier.issn1364-0380es
dc.identifier.urihttp://hdl.handle.net/11441/65570
dc.description.abstractWe show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages, in particular classifying spaces of nilpotent groups are turned into classifying spaces of nilpotent groups. We use a modified Bousfield-Kan homology completion tower zkX whose terms we prove are all X–cellular for any X. As straightforward consequences, we show that if X is K–acyclic and nilpotent for a given homology theory K, then so are all its Postnikov sections PnX , and that any nilpotent space for which the space of pointed self-maps map .X; X/ is “canonically” discrete must be aspherical.es
dc.description.sponsorshipGöran Gustafsson Stiftelsees
dc.description.sponsorshipFondo Europeo de Desarrollo Regionales
dc.description.sponsorshipMinisterio de Economía y Competitividades
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherMathematical Sciences Publisherses
dc.relation.ispartofGeometry and Topology, 19 (5), 2741-2766.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectNilpotent spaceses
dc.titleCellular properties of nilpotent spaceses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Geometría y Topologíaes
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/MTM2013-42293-Pes
dc.relation.projectIDUNAB10-4E-378es
dc.relation.publisherversionhttps://msp.org/gt/2015/19-5/gt-v19-n5-p07-s.pdfes
dc.identifier.doi10.2140/gt.2015.19.2741es
dc.contributor.groupUniversidad de Sevilla. FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopíaes
idus.format.extent26 p.es
dc.journaltitleGeometry and Topologyes
dc.publication.volumen19es
dc.publication.issue5es
dc.publication.initialPage2741es
dc.publication.endPage2766es

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