Artículo
Homotopy idempotent functors on classifying spaces
Autor/es | Castellana Vila, Natàlia
Flores Díaz, Ramón Jesús |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2015-02 |
Fecha de depósito | 2017-07-19 |
Publicado en |
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Resumen | Fix a prime p. Since their definition in the context of Localization Theory, the homotopy functors PBZ/p and CWBZ/p have shown to be powerful tools to understand and describe the mod p structure of a space. In this paper, ... Fix a prime p. Since their definition in the context of Localization Theory, the homotopy functors PBZ/p and CWBZ/p have shown to be powerful tools to understand and describe the mod p structure of a space. In this paper, we study the effect of these functors on a wide class of spaces which includes classifying spaces of compact Lie groups and their homotopical analogues. Moreover, we investigate their relationship in this context with other relevant functors in the analysis of the mod p homotopy, such as Bousfield-Kan completion and Bousfield homological localization. |
Cita | Castellana Vila, N. y Flores Díaz, R.J. (2015). Homotopy idempotent functors on classifying spaces. Transactions of the American Mathematical Society, 367 (2), 1217-1245. |
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