布斯菲尔德-坎${/mathbb{Q}}$补全和${mathbb{Q}}$良好空间的列特性分析

arXiv - MATH - Algebraic Topology Pub Date : 2024-07-03 DOI:arxiv-2407.02812

Yves Félix, Mario Fuentes, Aniceto Murillo

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摘要

我们证明，由模型和实现函子给出的奎伦对 ${\mathfrak{L}}\colon {\bfsset}\rightleftarrows {\bf cdgl}\colon {\langle\\\cdot\\,\rangle}$ 的单元在同调之前是布斯菲尔德-坎 ${\mathbb{Q}}$ 的补全。

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

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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arXiv - MATH - Algebraic Topology

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