Homotopy localization functor L-f with respect to maps f having a wedge of spheres as homotopy cofibre

Parent, PE
(2001) Israel Journal of Mathematics — Vol. 121, p. 143-155 (2001)

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  • Parent, PE
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Abstract
In the connected case, we compute explicitly the f-localization (in the sense of [3]) for the class of maps Z((n)) hooked right arrow 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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Parent, P. (2001). Homotopy localization functor L-f with respect to maps f having a wedge of spheres as homotopy cofibre. Israel Journal of Mathematics, 121, 143-155. https://doi.org/10.1007/BF02802501 (Original work published 2001)