Abstract
We show that if A is a simply connected, finite, pointed CW-complex, then the mapping spaces Map*(A,X) are preserved by the localization functors only if A has the rational homotopy type of a wedge of spheres V l S k.
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Badzioch, B., Dorabiała, W. A note on localizations of mapping spaces. Isr. J. Math. 177, 441–444 (2010). https://doi.org/10.1007/s11856-010-0054-5
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DOI: https://doi.org/10.1007/s11856-010-0054-5