On the equivalence between Lurie's model and the dendroidal model for infinity-operads
Algebraic Topology
2015-01-30 v3 Category Theory
Abstract
We compare two approaches to the homotopy theory of infinity-operads. One of them, the theory of dendroidal sets, is based on an extension of the theory of simplicial sets and infinity-categories which replaces simplices by trees. The other is based on a certain homotopy theory of marked simplicial sets over the nerve of Segal's category Gamma. In this paper we prove that for operads without constants these two theories are equivalent, in the precise sense of the existence of a zig-zag of Quillen equivalences between the respective model categories.
Keywords
Cite
@article{arxiv.1305.3658,
title = {On the equivalence between Lurie's model and the dendroidal model for infinity-operads},
author = {Gijs Heuts and Vladimir Hinich and Ieke Moerdijk},
journal= {arXiv preprint arXiv:1305.3658},
year = {2015}
}