English

An infinite loop space machine for infinity-operads

Algebraic Topology 2011-12-06 v1 Category Theory

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.

Keywords

Cite

@article{arxiv.1112.0625,
  title  = {An infinite loop space machine for infinity-operads},
  author = {Gijs Heuts},
  journal= {arXiv preprint arXiv:1112.0625},
  year   = {2011}
}
R2 v1 2026-06-21T19:45:37.116Z