Home > Research > Publications & Outputs > Homotopy theory of monoids and derived localiza...

Electronic data

  • HomotopyTheoryOfMonoidsV3

    Accepted author manuscript, 135 KB, PDF document

    Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License

Links

Text available via DOI:

View graph of relations

Homotopy theory of monoids and derived localization

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published
<mark>Journal publication date</mark>30/06/2021
<mark>Journal</mark>Journal of Homotopy and Related Structures
Issue number2
Volume16
Number of pages15
Pages (from-to)175-189
Publication StatusPublished
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.