dc.creator | Chachólski, Wojciech | es |
dc.creator | Farjoun, Emmanuel Dror | es |
dc.creator | Flores Díaz, Ramón Jesús | es |
dc.creator | Scherer, Jérôme | es |
dc.date.accessioned | 2017-10-31T12:17:57Z | |
dc.date.available | 2017-10-31T12:17:57Z | |
dc.date.issued | 2015-10 | |
dc.identifier.citation | Chachólski, 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.issn | 1465-3060 | es |
dc.identifier.issn | 1364-0380 | es |
dc.identifier.uri | http://hdl.handle.net/11441/65570 | |
dc.description.abstract | We 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.sponsorship | Göran Gustafsson Stiftelse | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Mathematical Sciences Publishers | es |
dc.relation.ispartof | Geometry and Topology, 19 (5), 2741-2766. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Nilpotent spaces | es |
dc.title | Cellular properties of nilpotent spaces | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Geometría y Topología | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2013-42293-P | es |
dc.relation.projectID | UNAB10-4E-378 | es |
dc.relation.publisherversion | https://msp.org/gt/2015/19-5/gt-v19-n5-p07-s.pdf | es |
dc.identifier.doi | 10.2140/gt.2015.19.2741 | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía | es |
idus.format.extent | 26 p. | es |
dc.journaltitle | Geometry and Topology | es |
dc.publication.volumen | 19 | es |
dc.publication.issue | 5 | es |
dc.publication.initialPage | 2741 | es |
dc.publication.endPage | 2766 | es |