Localization genus
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Localization genus. / Møller, Jesper M.; Scherer, Jérôme.
In: Publicacions Matematiques, Vol. 61, No. 1, 01.01.2017, p. 259-281.Research output: Contribution to journal › Journal article › Research › peer-review
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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
U2 - 10.5565/PUBLMAT_61117_10
DO - 10.5565/PUBLMAT_61117_10
M3 - Journal article
AN - SCOPUS:85006499428
VL - 61
SP - 259
EP - 281
JO - Publicacions Matematiques
JF - Publicacions Matematiques
SN - 0214-1493
IS - 1
ER -
ID: 204118262