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A note on localizations of mapping spaces

2008/08/04 by Bernard Badzioch, Badzioch, Bernard, Wojciech Dorabiała +2
Computer Science · Decision Sciences · Mathematics · #55P48 #55P60 #Algebraic Topology (math.AT) #Computational Geometry and Mesh Generation #FOS: Mathematics #Fixed Point Theorems Analysis #Fuzzy and Soft Set Theory #math.AT #msc:55P48 #msc:55P60

paper · pdf · doi:10.48550/arxiv.0808.0373

4 pages

arxiv created 2008/08/04 · openalex publication_date 2008/08/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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