A model for the Whitehead product in rational mapping spaces

2011/06/21 by Takahito Naito, Naito, Takahito · 1 citation
Mathematics · #55Q15 {Primary} 55P62 {Secondary} #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1106.4080

openalex publication_date 2011/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the Whitehead products in the rational homotopy group of a connected component of a mapping space in terms of the André-Quillen cohomology. As a consequence, an upper bound for the Whitehead length of a mapping space is given.

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