Homotopy theory of monoids and derived localization
Algebraic Topology
2021-09-30 v3
Abstract
We use derived localization of the bar and nerve constructions to provide simple proofs of a number of results in algebraic topology. This includes a recent generalization of Adams' cobar-construction to the non-simply connected case, and a new model for the homotopy theory of connected topological spaces using an infinity category of discrete monoids.
Keywords
Cite
@article{arxiv.1810.00373,
title = {Homotopy theory of monoids and derived localization},
author = {Joe Chuang and Julian Holstein and Andrey Lazarev},
journal= {arXiv preprint arXiv:1810.00373},
year = {2021}
}
Comments
v3: Corrections in introduction. 14 pages