Localization genus

All of RECERCAT

dc.contributor.author	Møller, Jesper M.
dc.contributor.author	Scherer, Jérôme
dc.date	2017
dc.identifier	https://ddd.uab.cat/record/168352
dc.identifier	urn:10.5565/PUBLMAT_61117_10
dc.identifier	urn:oai:ddd.uab.cat:168352
dc.identifier	urn:oai:raco.cat:article/316086
dc.identifier	urn:articleid:20144350v61n1p259
dc.identifier	urn:wos_id:000396538700010
dc.identifier	urn:scopus_id:85006499428
dc.format	application/pdf
dc.language	eng
dc.publisher
dc.relation	;
dc.relation	Publicacions matemàtiques ; Vol. 61 Núm. 1 (2017), p. 259-281
dc.rights	open access
dc.rights	Tots els drets reservats.
dc.rights	https://rightsstatements.org/vocab/InC/1.0/
dc.subject	Genus
dc.subject	Localization
dc.subject	Postnikov section
dc.subject	Connected cover
dc.subject	Completion
dc.subject	Rationalization
dc.subject	Self equivalence
dc.title	Localization genus
dc.type	Article
dc.description.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.