Two models for the homotopy theory of $\infty$-operads
Algebraic Topology
2020-11-03 v2 Category Theory
Abstract
We compare two models for -operads: the complete Segal operads of Barwick and the complete dendroidal Segal spaces of Cisinski and Moerdijk. Combining this with comparison results already in the literature, this implies that all known models for -operads are equivalent - for instance, it follows that the homotopy theory of Lurie's -operads is equivalent to that of dendroidal sets and that of simplicial operads.
Keywords
Cite
@article{arxiv.1606.03826,
title = {Two models for the homotopy theory of $\infty$-operads},
author = {Hongyi Chu and Rune Haugseng and Gijs Heuts},
journal= {arXiv preprint arXiv:1606.03826},
year = {2020}
}
Comments
16 pages, v2: accepted version