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Rational formality of mapping spaces

2010/03/29 by Yves Félix, Yves Felix, Felix, Yves
Computer Science · Engineering · Mathematics · #3D Modeling in Geospatial Applications #Advanced Numerical Analysis Techniques #Algebraic Topology (math.AT) #Constraint Satisfaction and Optimization #FOS: Mathematics #math.AT

paper · pdf · doi:10.48550/arxiv.1003.5491

arxiv created 2010/03/29 · openalex publication_date 2010/03/29 · arxiv updated 2010/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X and Y be finite nilpotent CW complexes with dimension of X less than the connectivity of Y. Generalizing results of Vigué-Poirrier and Yamaguchi, we prove that the mapping space Map(X,Y) is rationally formal if and only if Y has the rational homotopy type of a finite product of odd dimensional spheres.

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