Localization genus
Møller, Jesper M. (Matematisk Institut (Copenhaguen, Dinamarca))
Scherer, Jérôme (École Polytechnique fédérale de Lausanne (Suïssa))

Date:	2017
Abstract:	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 dene in fact the notion of localization genus for any homotopical localization functor in the sense of Bouseld and Dror Farjoun. This includes exotic genus notions related for example to Neisendorfer localization, or the classical Mislin genus, which corresponds to rationalization.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Genus ; Localization ; Postnikov section ; Connected cover ; Completion ; Rationalization ; Self equivalence
Published in:	Publicacions matemàtiques, Vol. 61 Núm. 1 (2017) , p. 259-281 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/316086
DOI: 10.5565/PUBLMAT_61117_10

23 p, 391.9 KB

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