A Lie characterization of the Bousfield-Kan ℚ-completion and ℚ-good spaces

2024/07/03 by Yves Félix, Félix, Yves, Mario Luis Fuentes +3 · 1 citation
Mathematics · Medicine · #17B55 #55P62 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders

paper · pdf · doi:10.48550/arxiv.2407.02812

openalex publication_date 2024/07/03 · openalex created_date 2024/07/06 · openalex updated_date 2026/07/28

Abstract

We prove that the unit of the Quillen pair \mathfrakL\colon \bf sset\rightleftarrows \bf cdgl\colon ⟨ ⋅ ⟩ given by the model and realization functor is, up to homotopy, the Bousfield-Kan ℚ-completion.

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• Algebraic models for equivariant rational homotopy theory for discrete groups

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