An infinite loop space machine for infinity-operads

Abstract

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.

References in corpus (2)

• Higher Topos Theory
• Algebras over infinity-operads

Cited by in corpus (2)

• Infinity Properads and Infinity Wheeled Properads
• On the combinatorics of faces of trees and anodyne extensions of dendroidal sets