Localization genus

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Localization genus. / Møller, Jesper M.; Scherer, Jérôme.

I: Publicacions Matematiques, Bind 61, Nr. 1, 01.01.2017, s. 259-281.

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Harvard

Møller, JM & Scherer, J 2017, 'Localization genus', Publicacions Matematiques, bind 61, nr. 1, s. 259-281. https://doi.org/10.5565/PUBLMAT_61117_10

APA

Møller, J. M., & Scherer, J. (2017). Localization genus. Publicacions Matematiques, 61(1), 259-281. https://doi.org/10.5565/PUBLMAT_61117_10

Vancouver

Møller JM, Scherer J. Localization genus. Publicacions Matematiques. 2017 jan. 1;61(1):259-281. https://doi.org/10.5565/PUBLMAT_61117_10

Author

Møller, Jesper M. ; Scherer, Jérôme. / Localization genus. I: Publicacions Matematiques. 2017 ; Bind 61, Nr. 1. s. 259-281.

Bibtex

@article{013d05704b9d40c99e114295b5dd48be,
title = "Localization genus",
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 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.",
keywords = "Completion, Connected cover, Genus, Localization, Postnikov section, Rationalization, Self equivalence",
author = "M{\o}ller, {Jesper M.} and J{\'e}r{\^o}me Scherer",
year = "2017",
month = jan,
day = "1",
doi = "10.5565/PUBLMAT_61117_10",
language = "English",
volume = "61",
pages = "259--281",
journal = "Publicacions Matematiques",
issn = "0214-1493",
publisher = "Universitat Autonoma de Barcelona * Servei de Publicacions",
number = "1",

}

RIS

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