A Lie characterization of the Bousfield-Kan ${\mathbb{Q}}$-completion and ${\mathbb{Q}}$-good spaces
Algebraic Topology
2024-07-04 v1
Abstract
We prove that the unit of the Quillen pair given by the model and realization functor is, up to homotopy, the Bousfield-Kan -completion.
Keywords
Cite
@article{arxiv.2407.02812,
title = {A Lie characterization of the Bousfield-Kan ${\mathbb{Q}}$-completion and ${\mathbb{Q}}$-good spaces},
author = {Yves Félix and Mario Fuentes and Aniceto Murillo},
journal= {arXiv preprint arXiv:2407.02812},
year = {2024}
}