2011/12/03 by Gijs Heuts, Heuts, Gijs
Mathematics · Physics and Astronomy · #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #math.AT #math.CT
paper · pdf · doi:10.48550/arxiv.1112.0625
arxiv created 2011/12/03 · openalex publication_date 2011/12/03 · arxiv updated 2011/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper describes a consequence of the more general results of a previous paper which is of independent interest. We construct a functor from the category of dendroidal sets, which models the theory of infinity-operads, into the category of E-infinity-spaces. Applying May's infinite loop space machine for E-infinity-spaces then gives an infinite loop space machine for infinity-operads. We show that our machine exhibits the homotopy theory of E-infinity-spaces as a localization of the homotopy theory of infinity-operads.