A Lie characterization of the Bousfield-Kan ${\mathbb{Q}}$-completion and ${\mathbb{Q}}$-good spaces
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| Format: | Preprint |
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2024
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| _version_ | 1866911942735560704 |
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| author | Félix, Yves Fuentes, Mario Murillo, Aniceto |
| author_facet | Félix, Yves Fuentes, Mario Murillo, Aniceto |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02812 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Lie characterization of the Bousfield-Kan ${\mathbb{Q}}$-completion and ${\mathbb{Q}}$-good spaces Félix, Yves Fuentes, Mario Murillo, Aniceto Algebraic Topology 55P62, 17B55 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. |
| title | A Lie characterization of the Bousfield-Kan ${\mathbb{Q}}$-completion and ${\mathbb{Q}}$-good spaces |
| topic | Algebraic Topology 55P62, 17B55 |
| url | https://arxiv.org/abs/2407.02812 |