Artículo
Cellular properties of nilpotent spaces
Autor/es | Chachólski, Wojciech
Farjoun, Emmanuel Dror Flores Díaz, Ramón Jesús Scherer, Jérôme |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2015-10 |
Fecha de depósito | 2017-10-31 |
Publicado en |
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Resumen | 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 ... 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. |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2013-42293-P
UNAB10-4E-378 |
Cita | 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. |
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