Localization genus

TY - JOUR

T1 - Localization genus

AU - Møller, Jesper M.

AU - Scherer, Jérôme

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Completion

KW - Connected cover

KW - Genus

KW - Localization

KW - Postnikov section

KW - Rationalization

KW - Self equivalence

UR - http://www.scopus.com/inward/record.url?scp=85006499428&partnerID=8YFLogxK

U2 - 10.5565/PUBLMAT_61117_10

DO - 10.5565/PUBLMAT_61117_10

M3 - Journal article

AN - SCOPUS:85006499428

SN - 0214-1493

VL - 61

SP - 259

EP - 281

JO - Publicacions Matematiques

JF - Publicacions Matematiques

IS - 1

ER -