Homotopy idempotent functors on classifying spaces
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- by Natàlia Castellana and Ramón Flores PDF
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Abstract:
Fix a prime $p$. Since their definition in the context of localization theory, the homotopy functors $P_{B\mathbb {Z}/p}$ and $CW_{B\mathbb {Z}/p}$ have shown to be powerful tools used 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.References
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Additional Information
- Natàlia Castellana
- Affiliation: Departamento de Matemáticas, Universidad Autónoma de Barcelona, 08193 Bellaterra, Spain
- Email: natalia@mat.uab.es
- Ramón Flores
- Affiliation: Departamento de Estadística, Universidad Carlos III, 28029 Colmenarejo, Spain
- ORCID: 0000-0002-4315-9957
- Email: rflores@est-econ.uc3m.es
- Received by editor(s): October 29, 2012
- Received by editor(s) in revised form: March 14, 2013
- Published electronically: May 27, 2014
- Additional Notes: The second author was the corresponding author
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 367 (2015), 1217-1245
- MSC (2010): Primary 55P20; Secondary 55P65
- DOI: https://doi.org/10.1090/S0002-9947-2014-06132-1
- MathSciNet review: 3280042