2018/09/30 by Chuang, Joe, Holstein, Julian, Lazarev, Andrey · 1 citation
#Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.1810.00373
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.