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arXiv · 1810.00373

Homotopy theory of monoids and derived localization

Joe Chuang·Julian Holstein·Andrey Lazarev
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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.

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Joe Chuang, Julian Holstein, Andrey Lazarev. 2018-09-30. Homotopy theory of monoids and derived localization. https://arxiv.org/abs/1810.00373

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