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arXiv · 0808.0373

A note on localizations of mapping spaces

Bernard Badzioch·Wojciech Dorabiala
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Abstract

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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Bernard Badzioch, Wojciech Dorabiala. 2008-08-04. A note on localizations of mapping spaces. https://arxiv.org/abs/0808.0373

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