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  • HomotopyTheoryOfMonoidsV3

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Homotopy theory of monoids and derived localization

Research output: Contribution to journalJournal articlepeer-review

E-pub ahead of print
<mark>Journal publication date</mark>3/03/2021
<mark>Journal</mark>Journal of Homotopy and Related Structures
Number of pages15
Publication StatusE-pub ahead of print
Early online date3/03/21
<mark>Original language</mark>English

Abstract

We use derived localization of the bar and nerve constructions to provide simple proofs of a number of results in algebraic topology, both known and new. This includes a recent generalization of Adams’s cobar-construction to the non-simply connected case, and a new algebraic model for the homotopy theory of connected topological spaces as an ∞-category of discrete monoids.