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arXiv · 2407.02812

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

Yves Félix·Mario Fuentes·Aniceto Murillo
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Abstract

We prove that the unit of the Quillen pair ${\mathfrak{L}}\colon {\bf sset}\rightleftarrows {\bf cdgl}\colon {\langle\,\cdot\,\rangle}$ given by the model and realization functor is, up to homotopy, the Bousfield-Kan ${\mathbb{Q}}$-completion.

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Yves Félix, Mario Fuentes, Aniceto Murillo. 2024-07-03. A Lie characterization of the Bousfield-Kan ${\mathbb{Q}}$-completion and ${\mathbb{Q}}$-good spaces. https://arxiv.org/abs/2407.02812

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