A Lie characterization of the Bousfield-Kan $\mathbb{Q}$-completion and $\mathbb{Q}$-good spaces

Yves Félix, Mario Fuentes, Aniceto Murillo

We prove that the unit of the Quillen pair $\mathfrak{L}:\mathbf{sset}\rightleftarrows \mathbf{cdgl}:⟨\cdot ⟩$ given by the model and realization functor i…