Localization genus

Research output: Contribution to journalJournal articleResearchpeer-review

Which spaces look like an n-sphere through the eyes of the n-Th Postnikov section functor and the n-connected cover functor? The answer is what we call the Postnikov genus of the n-sphere. We define in fact the notion of localization genus for any homotopical localization functor in the sense of Bousfield and Dror Farjoun. This includes exotic genus notions related for example to Neisendorfer localization, or the classical Mislin genus, which corresponds to rationalization.

Original languageEnglish
JournalPublicacions Matematiques
Issue number1
Pages (from-to)259-281
Publication statusPublished - 1 Jan 2017

    Research areas

  • Completion, Connected cover, Genus, Localization, Postnikov section, Rationalization, Self equivalence

ID: 204118262