A note on localizations of mapping spaces
classification
🧮 math.AT
keywords
mappingspacesconnectedcw-complexdimensionfinitefixedfunctors
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We show that if A is a simply connected, finite, pointed CW-complex then the mapping spaces Map(A, -) are preserved by the localization functors only if A has the rational homotopy type of a wedge of spheres of a fixed dimension.
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