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Homotopy localization functorL f with respect to mapsf having a wedge of spheres as homotopy cofibre

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Abstract

In the connected case, we compute explicity thef-localization (in the sense of [3]) for the class of mapsZ (n)↪Z in which the cofibre is a wedge of spheres. We have an analogous result over the rationals where the cofibre is arbitrary.

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Authors and Affiliations

  1. UCL-Institute de Mathématiques, 2, Chemin du Cyclotron, 1348, Louvain-la-Neuve, Belgium

    Paul-Eugène Parent

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  1. Paul-Eugène Parent
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Parent, PE. Homotopy localization functorL f with respect to mapsf having a wedge of spheres as homotopy cofibre. Isr. J. Math. 121, 143–155 (2001). https://doi.org/10.1007/BF02802501

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  • DOI: https://doi.org/10.1007/BF02802501

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