Homotopy localization functorL f with respect to mapsf having a wedge of spheres as homotopy cofibre
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In the connected case, we compute explicity thef-localization (in the sense of ) 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.
KeywordsExact Sequence Homotopy Class Homotopy Group Connected Space Rational Space
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- E. D. Farjoun,Cellular Spaces, Null Spaces and Homotopy Localization, Lecture Notes in Mathematics1622, Springer-Verlag, Berlin, 1996.Google Scholar