Homotopy idempotent functors on classifying spaces

Natàlia Castellana, Ramón Flores

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)


© 2014 American Mathematical Society. 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 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.
Original languageEnglish
Pages (from-to)1217-1245
JournalTransactions of the American Mathematical Society
Issue number2
Publication statusPublished - 1 Jan 2015


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